Relevant bibliographies by topics / Fermi quantum gas

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Fermi quantum gas'

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Published: 10 March 2023

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Journal articles on the topic "Fermi quantum gas"

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De Marco, Luigi, Giacomo Valtolina, Kyle Matsuda, William G. Tobias, Jacob P. Covey, and Jun Ye. "A degenerate Fermi gas of polar molecules." Science 363, no. 6429 (January 17, 2019): 853–56. http://dx.doi.org/10.1126/science.aau7230.

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Experimental realization of a quantum degenerate gas of molecules would provide access to a wide range of phenomena in molecular and quantum sciences. However, the very complexity that makes ultracold molecules so enticing has made reaching degeneracy an outstanding experimental challenge over the past decade. We now report the production of a degenerate Fermi gas of ultracold polar molecules of potassium-rubidium. Through coherent adiabatic association in a deeply degenerate mixture of a rubidium Bose-Einstein condensate and a potassium Fermi gas, we produce molecules at temperatures below 0.3 times the Fermi temperature. We explore the properties of this reactive gas and demonstrate how degeneracy suppresses chemical reactions, making a long-lived degenerate gas of polar molecules a reality.
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Erk а b о ev, U. I., R. G. R а khim о v, N. А. S а yid о v, J. I. Mirz а ev, and U. B. Negmatov. "INFLUENCE О F А STR О NG M А GNETIC FIELD О N FERMI ENERGY О SCILL А TI О NS IN TW О -DIMENSI О N А L SEMIC О NDUCT О R M А TERI А LS." SEMOCONDUCTOR PHYSICS AND MICROELECTRONICS 3, no. 4 (August 30, 2021): 30–37. http://dx.doi.org/10.37681/2181-1652-019-x-2021-4-5.

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This article shows that the Fermi levels of a nanoscale semiconductor in a quantizing magnetic field are quantized. A method is proposed for calculating the Fermi energy oscillations for a two-dimensional electron gas at different magnetic fields and temperatures. An analytical expression is obtained for calculating the Fermi-Dira c distribution function at high temperatures and weak magnetic fields. With the help of the propos ed formula, the experimental results in nanoscale semiconductor structures are investigated. Using fo rmula, Fermi energy oscillations are explained for two-dimensional electron gases in quantum wells (quantum wells, mainly GaAs/GaAlAs heterostructures) with a parabolic dispersion law. Keywоrds:quаntizing mа gnetic field, temperаture, Fermi energy, n аnоscаle semicоnductоrs,twо-dimensiоnаl structures, dispersiоn.
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Dil, Emre. "Can quantum black holes be (q, p)-fermions?" International Journal of Modern Physics A 32, no. 15 (May 19, 2017): 1750080. http://dx.doi.org/10.1142/s0217751x17500804.

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In this study, to investigate the very nature of quantum black holes, we try to relate three independent studies: (q, p)-deformed Fermi gas model, Verlinde’s entropic gravity proposal and Strominger’s quantum black holes obeying the deformed statistics. After summarizing Strominger’s extremal quantum black holes, we represent the thermostatistics of (q, p)-fermions to reach the deformed entropy of the (q, p)-deformed Fermi gas model. Since Strominger’s proposal claims that the quantum black holes obey deformed statistics, this motivates us to describe the statistics of quantum black holes with the (q, p)-deformed fermions. We then apply the Verlinde’s entropic gravity proposal to the entropy of the (q, p)-deformed Fermi gas model which gives the two-parameter deformed Einstein equations describing the gravitational field equations of the extremal quantum black holes obeying the deformed statistics. We finally relate the obtained results with the recent study on other modification of Einstein equations obtained from entropic quantum corrections in the literature.
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GRADO-CAFFARO, M. A., and M. GRADO-CAFFARO. "CHEMICAL POTENTIAL CALCULATION RELATIVE TO AN EXCITONIC GAS IN A NON-PARABOLIC QUANTUM DOT." Modern Physics Letters B 20, no. 26 (November 20, 2006): 1703–6. http://dx.doi.org/10.1142/s0217984906012183.

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The Fermi energy level, that is, the chemical potential associated with an excitonic gas in a semiconductor within a non-parabolic quantum dot is calculated by determining previously the corresponding Fermi velocity of excitons conceived as confined in a spherical quantum box on the basis of the energy levels of the hydrogen atom. From the Fermi energy calculation, the reduced effective mass of an electron–hole pair is found to be dependent upon the spatial exciton density. In addition, some aspects related to quantization of the Fermi energy in question and temperature dependence are discussed.
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Guan, Xiwen. "Critical phenomena in one dimension from a Bethe ansatz perspective." International Journal of Modern Physics B 28, no. 24 (August 5, 2014): 1430015. http://dx.doi.org/10.1142/s0217979214300151.

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This article briefly reviews recent theoretical developments in quantum critical phenomena in one-dimensional (1D) integrable quantum gases of cold atoms. We present a discussion on quantum phase transitions, universal thermodynamics, scaling functions and correlations for a few prototypical exactly solved models, such as the Lieb–Liniger Bose gas, the spin-1 Bose gas with antiferromagnetic spin-spin interaction, the two-component interacting Fermi gas as well as spin-3/2 Fermi gases. We demonstrate that their corresponding Bethe ansatz solutions provide a precise way to understand quantum many-body physics, such as quantum criticality, Luttinger liquids (LLs), the Wilson ratio, Tan's Contact, etc. These theoretical developments give rise to a physical perspective using integrability for uncovering experimentally testable phenomena in systems of interacting bosonic and fermonic ultracold atoms confined to 1D.
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Das, Samir, and Shyamal Biswas. "Particle scattering by rotating trapped quantum gases at finite temperature." Physica Scripta 96, no. 12 (December 1, 2021): 125037. http://dx.doi.org/10.1088/1402-4896/ac3d4e.

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Abstract We have analytically explored the quantum phenomena of particle scattering by rotating trapped quantum gases of electrically neutral bosons and fermions for the short-ranged Fermi-Huang interactions between the incident particle and the scatterers. We have predicted differential scattering cross-sections and their temperature and angular velocity dependencies in this regard, in particular, for an ideal Bose gas in a rotating harmonic trap, an ideal Fermi gas in a rotating harmonic trap, and a weakly interacting Bose gas in a slow rotating harmonic trap. We have theoretically probed the lattice-pattern of the vortices in a rapidly rotating strongly interacting Bose–Einstein condensate by the particle scattering method. We also have obtained de Haas-van Alphen-like oscillations in the differential scattering cross-section for an ideal ultracold Fermi gas in a rotating harmonic trap. Our predictions on the differential scattering cross-sections can be tested within the present-day experimental setups.
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Huang, Xun, Xu-Yang Hou, Yan Gong, and Hao Guo. "Finite temperature behaviors of q-deformed Fermi gases." Modern Physics Letters B 33, no. 24 (August 30, 2019): 1950294. http://dx.doi.org/10.1142/s0217984919502944.

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During the last three decades, nonstandard statistics for indistinguishable quantum particles has attracted wide attention and research interests from many institutions. Among these new types of statistics, the [Formula: see text]-deformed Bose and Fermi statistics, originated from the study of quantum algebra, are being applied in more and more physical systems. In this paper, we construct a [Formula: see text]-deformed generalization of the BCS-Leggett theory for ultracold Fermi gases based on our previously constructed [Formula: see text]-deformed BCS theory. Some interesting features of this [Formula: see text]-deformed interacting quantum gas are obtained by numerical analysis. For example, in the ordinary Bose–Einstein Condensation regime, the gas presents a fermionic feature instead of bosonic feature if the deformation parameter is tuned suitably, which might be referred to as the [Formula: see text]-induced “Bose–Fermi” crossover. Conversely, a weak sign of the “Fermi–Bose” crossover is also found in the ordinary weak fermionic regime.
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Kokkelmans, S., M. Holland, R. Walser, and M. Chiofalo. "Resonance Superfluidity in a Quantum Degenerate Fermi Gas." Acta Physica Polonica A 101, no. 3 (March 2002): 387–97. http://dx.doi.org/10.12693/aphyspola.101.387.

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Cao, C., E. Elliott, J. Joseph, H. Wu, J. Petricka, T. Schafer, and J. E. Thomas. "Universal Quantum Viscosity in a Unitary Fermi Gas." Science 331, no. 6013 (December 9, 2010): 58–61. http://dx.doi.org/10.1126/science.1195219.

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Tohyama, Mitsuru. "Quantum Study of a Trapped Dipolar Fermi Gas." Journal of the Physical Society of Japan 78, no. 10 (October 15, 2009): 104003. http://dx.doi.org/10.1143/jpsj.78.104003.

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Dissertations / Theses on the topic "Fermi quantum gas"

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Whitehead, Thomas Michael. "Interacting Fermi gases." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/274548.

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Interacting Fermi gases are one of the chief paradigms of condensed matter physics. They have been studied since the beginning of the development of quantum mechanics, but continue to produce surprises today. Recent experimental developments in the field of ultracold atomic gases, as well as conventional solid state materials, have produced new and exotic forms of Fermi gases, the theoretical understanding of which is still in its infancy. This Thesis aims to provide updated tools and additional insights into some of these systems, through the application of both numerical and analytical techniques. The first Part of this Thesis is concerned with the development of improved numerical tools for the study of interacting Fermi gases. These tools take the form of accurate model potentials for the dipolar and contact interactions, as found in various ultracold atomic gas experiments, and a new form of Jastrow correlation factor that interpolates between the radial symmetry of the inter-electron Coulomb potential at short inter-particle distances, and the symmetry of the numerical simulation cell at large separation. These methods are designed primarily for use in quantum Monte Carlo numerical calculations, and provide high accuracy along with considerable acceleration of simulations. The second Part shifts focus to an analytical analysis of spin-imbalanced Fermi gases with an attractive contact interaction. The spin-imbalanced Fermi gas is shown to be unstable to the formation of multi-particle instabilities, generalisations of a Cooper pair containing more than two fermions, and then a theory of superconductivity is built from these instabilities. This multi-particle superconductivity is shown to be energetically favourable over conventional superconducting phases in spin-imbalanced Fermi gases, and its unusual experimental consequences are discussed.
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Huber, Florian Gerhard. "Site-Resolved Imaging with the Fermi Gas Microscope." Thesis, Harvard University, 2014. http://dissertations.umi.com/gsas.harvard:11595.

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The recent development of quantum gas microscopy for bosonic rubidium atoms trapped in optical lattices has made it possible to study local structure and correlations in quantum many-body systems.
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Noronha, José M. B. "Statistical mechanics of ideal quantum gases : finite size effects." Thesis, University of Newcastle Upon Tyne, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.247828.

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Goulko, Olga. "Thermodynamic and hydrodynamic behaviour of interacting Fermi gases." Thesis, University of Cambridge, 2012. https://www.repository.cam.ac.uk/handle/1810/241497.

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Fermionic matter is ubiquitous in nature, from the electrons in metals and semiconductors or the neutrons in the inner crust of neutron stars, to gases of fermionic atoms, like 40K or 6Li that can be created and studied under laboratory conditions. It is especially interesting to study these systems at very low temperatures, where we enter the world of quantum mechanical phenomena. Due to the Fermi-Dirac statistics, a dilute system of spin-polarised fermions exhibits no interactions and can be viewed as an ideal Fermi gas. However, interactions play a crucial role for fermions of several spin species. This thesis addresses several questions concerning interacting Fermi gases, in particular the transition between the normal and the superfluid phase and dynamical properties at higher temperatures. First we will look at the unitary Fermi gas: a two-component system of fermions interacting with divergent scattering length. This system is particularly interesting as it exhibits universal behaviour. Due to the strong interactions perturbation theory is inapplicable and no exact theoretical description is available. I will describe the Determinant Diagrammatic Monte Carlo algorithm with which the unitary Fermi gas can be studied from first principles. This algorithm fails in the presence of a spin imbalance (unequal number of particles in the two components) due to a sign problem. I will show how to apply reweighting techniques to generalise the algorithm to the imbalanced case, and present results for the critical temperature and other thermodynamic observables at the critical point, namely the chemical potential, the energy per particle and the contact density. These are the first numerical results for the imbalanced unitary Fermi gas at finite temperature. I will also show how temperatures beyond the critical point can be accessed and present results for the equation of state and the temperature dependence of the contact density. At sufficiently high temperatures a semiclassical description captures all relevant physical features of the system. The dynamics of an interacting Fermi gas can then be studied via a numerical simulation of the Boltzmann equation. I will describe such a numerical setup and apply it to study the collision of two spin-polarised fermionic clouds. When the two components are separated in an elongated harmonic trap and then released, they collide and for sufficiently strong interactions can bounce off each other several times. I will discuss the different types of the qualitative behaviour, show how they can be interpreted in terms of the equilibrium properties of the system, and explain how they relate to the coupling between different excitation modes. I will also demonstrate how transport coefficients, for instance the spin drag, can be extracted from the numerical data.
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Iskin, Menderes. "BCS to BEC Evolution and Quantum Phase Transitions in Superfluid Fermi Gases." Diss., Georgia Institute of Technology, 2007. http://hdl.handle.net/1853/16326.

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This thesis focuses on the analysis of Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensation (BEC) evolution in ultracold superfluid Fermi gases when the interaction between atoms is varied. The tuning of attractive interactions permits the ground state of the system to evolve from a weak fermion attraction BCS limit of loosely bound and largely overlapping Cooper pairs to a strong fermion attraction limit of tightly bound small bosonic molecules which undergo BEC. This evolution is accompanied by anomalous behavior of many superfluid properties, and reveals several quantum phase transitions. This thesis has two parts: In the first part, I analyze zero and nonzero orbital angular momentum pairing effects, and show that a quantum phase transition occurs for nonzero angular momentum pairing, unlike the $s$-wave case where the BCS to BEC evolution is just a crossover. In the second part, I analyze two-species fermion mixtures with mass and population imbalance in continuum, trap and lattice models. In contrast with the crossover physics found in the mass and population balanced mixtures, I demonstrate the existence of phase transitions between normal and superfluid phases, as well as phase separation between superfluid (paired) and normal (excess) fermions in imbalanced mixtures as a function of scattering parameter and mass and population imbalance.
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Rabinovic, Mihail. "Quasithermalization of fermions in a quadrupole potential and evaporative cooling of 40K to quantum degeneracy." Thesis, Paris Sciences et Lettres (ComUE), 2017. http://www.theses.fr/2017PSLEE019/document.

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Dans cette thèse, nous avons étudié expérimentalement les propriétés physiques des fermions ultra-froids grâce à une machine conçue pour refroidir un mélange fermionique de 6Li et 40K. Après une courte description concernant la construction de l'expérience et quelques améliorations que j'ai implémentées pendant ma thèse (telles que la désorption atomique par lumière ultraviolette dans le 2D-MOT), l'exposé se concentre sur deux observations principales de l'origine fermionique des gaz de potassium et de lithium.La première partie présente la quasithermalization du 6Li dans un potentiel quadrupolaire, créé par un piège magnétique. Malgré l'absence de collisions dans un gaz fermionique polarisé en dessous d'une température donnée, nous observons une redistribution d'énergie dans l'ensemble statistique après une excitation dans le piège linéaire. Une étude expérimentale détaillée ainsi qu'une analyse théorique du phénomène sont présentées. De plus, une transformation canonique de l'hamiltonien du système permet la description de particules sans masses dans un piège harmonique. Les résultats expérimentaux du système réel (gaz 6Li dans un potentiel quadrupolaire) sont donc réinterprétés pour décrire ces particules non massiques, difficiles à observer. Un développement supplémentaire de notre système expérimental permet également la réalisation d'un couplage spin-orbite non-abélien dans le gaz fermionique sans interactions.Dans la deuxième partie, on décrit la réalisation d'un gaz dégénéré de 40K à l'aide du refroidissement évaporatif. Une succession d'étapes d'évaporation, utilisant différentes technologies de piégeage, nous permet d'obtenir 1.5e5 atomes dans l'état fondamental à une température de 62nK, température équivalente à 17% de la température de Fermi
In this thesis we investigate experimentally the physics of a cold fermionic mixture consisting of 6Li and 40K. After a short description of the experimental apparatus and of a few technical particularities implemented during my PhD, for example the light-induced atomic desorption in the 2D-MOT by UV-light, we focus on two main observations of the fermionic nature of the gas.The first part describes the quasithermalization of 6Li in a magnetic quadrupole potential. Even though collisions are absent in a spin-polarized fermionic gas below a given temperature, the statistical ensemble undergoes energy redistribution after an excitation within the linear potential. We present an extensive experimental study as well as a comprehensive theoretical analysis. Moreover, the studied Hamiltonian can be canonically mapped onto a system of massless, harmonically trapped particles and the previously developed results are re-interpreted in order to describe this experimentally inaccessible system. A further development of the realized experiment allows even for the implementation of spin-orbit coupling in a gas of non-interacting fermions.In the second part, we describe the evaporative cooling of 40K to quantum degeneracy. Through different evaporative cooling stages we reach with a final number of 1.5e5 atoms in the ground-state a temperature of 62nK, which corresponds to 17% of the Fermi temperature
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Laurent, Sébastien. "Dynamics and stability of a Bose-Fermi mixture : counterflow of superfluids and inelastic decay in a strongly interacting gas." Thesis, Paris Sciences et Lettres (ComUE), 2017. http://www.theses.fr/2017PSLEE023/document.

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La compréhension des effets des interactions dans un ensemble de particules quantiques représente un enjeu majeur de la physique moderne. Les atomes ultra-froids sont rapidement devenus un outil incomparable pour étudier ces systèmes quantiques fortement corrélés. Dans cette thèse, nous présentons plusieurs travaux portant sur les propriétés d’un mélange de superfluides de Bose et de Fermi créé à l’aide de vapeurs ultra-froides de ⁷Li et de ⁶Li. Nous étudions tout d'abord les propriétés hydrodynamiques du mélange en créant un contre-courant entre les superfluides. L'écoulement est dissipatif uniquement au dessus d'une vitesse critique que nous mesurons dans le crossover BEC-BCS. Une simulation numérique d’un contre-courant de deux condensats permet de mieux comprendre les mécanismes sous-jacents mis en jeu dans la dynamique. En particulier, l'étude numérique fournit des preuves supplémentaires que l'origine de la dissipation dans nos expériences est liée à l'émission d'excitation élémentaires dans chaque superfluide. Finalement, nous nous intéressons aux pertes inélastiques par recombinaison à trois corps qui peuvent limiter la stabilité de nos nuages. Ces pertes sont intimement liées aux corrélations à courte distance présentes dans le système et sont ainsi connectées aux propriétés universelles du gaz quantique. Cela se manifeste notamment par l’apparition de dépendances en densité ou en température inusuelles du taux de perte lorsque le système devient fortement corrélé. Nous démontrons cet effet dans deux exemples où les interactions sont résonantes, le cas du gaz de Bose unitaire et celui de notre mélange de superfluides Bose-Fermi. Plus généralement, nos travaux montrent que ces pertes inélastiques peuvent être utilisées pour sonder les corrélations quantiques dans un système en fortes interactions
Understanding the effect of interactions in quantum many-body systems presents some of the most compelling challenges in modern physics. Ultracold atoms have emerged as a versatile platform to engineer and investigate these strongly correlated systems. In this thesis, we study the properties of a mixture of Bose and Fermi superfluids with tunable interactions produced using ultracold vapors of ⁷Li and ⁶Li. We first study the hydrodynamic properties of the mixture by creating a counterflow between the superfluids. The relative motion only exhibit dissipation above a critical velocity that we measure in the BEC-BCS crossover. A numerical simulation of counterflowing condensates allows for a better understanding of the underlying mechanisms at play in the dynamics. In particular, this numerical study provides additional evidence that the onset of friction in our experiment is due to the simultaneous generation of elementary excitations in both superfluids. Finally, we consider the inelastic losses that occur via three-body recombination in our cold gases. This few-body process is intimately related to short-distance correlations and is thereby connected to the universal properties of the many-body system. This manifests as the apparition of an unusual dependence on density or temperature in the loss rate when increasing the interactions. We demonstrate this effect in two examples where interactions are resonant: the case of a dilute unitary Bose gas and the one of impurities weakly coupled to a unitary Fermi gas. More generally, our work shows that inelastic losses can be used to probe quantum correlations in a many-body system
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Sun, Deqiang. "Landau-Zener transitions in noisy environment and many-body systems." [College Station, Tex. : Texas A&M University, 2009. http://hdl.handle.net/1969.1/ETD-TAMU-2009-05-773.

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BAKHTIARI, MOHAMMAD REZA. "Quantum gases in quasi-one dimensional arrays." Doctoral thesis, Scuola Normale Superiore, 2007. http://hdl.handle.net/11384/85849.

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Rizzi, Matteo. "Quantum Phase transitions in Hubbard lattices." Doctoral thesis, Scuola Normale Superiore, 2007. http://hdl.handle.net/11384/85848.

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Books on the topic "Fermi quantum gas"

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Zwerger, Wilhelm. The BCS-BEC Crossover and the Unitary Fermi Gas. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2012.

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Rau, Jochen. Perfect Gas. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199595068.003.0006.

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The perfect gas is perhaps the most prominent application of statistical mechanics and for this reason merits a chapter of its own. This chapter briefly reviews the quantum theory of many identical particles, in particular the distinction between bosons and fermions, and then develops the general theory of the perfect quantum gas. It considers a number of limits and special cases: the classical limit; the Fermi gas at low temperature; the Bose gas at low temperature which undergoes Bose–Einstein condensation; as well as black-body radiation. For the latter we derive the Stefan–Boltzmann law, the Planck distribution, and Wien’s displacement law. This chapter also discusses the effects of a possible internal dynamics of the constituent molecules on the thermodynamic properties of a gas. Finally, it extends the theory of the perfect gas to dilute solutions.
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Panigrahi, Muktikanta, and Arpan Kumar Nayak. Polyaniline based Composite for Gas Sensors. IOR PRESS, 2021. http://dx.doi.org/10.34256/ioriip212.

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In this research work, we have demonstrated the synthesis, spectroscopic characteristics, thermal behaviour and DC conductivity of a few nanostructured composites, substituted conducting polymers (ICPs) and composites of ICPs. The physical properties of aforementioned composites are significantly changed by the doping with HCl, H2SO4, HNO3, H3PO4, or acrylic acid. The charge transport properties of these polymeric materials have been studied in detail because of their potential application in gas sensors. In the current work, varieties of conducting polymer based materials such as PANI-ES/Cloisite 20A nanostructured composite, acrylic acid (AA) doped PANI polymer, N-substituted conducting polyaniline polymer, DL−PLA/PANI-ES composites, poly methyl methacrylate (PMMA) based polyaniline composite, and inorganic acid doped polyaniline are sucessfuly synthesized using aniline/aniline hydrochloride as precursors in acidic medium. Particularly, AA based synthesised PANI polymer was found with higher solubility The spectroscopic, thermal stability, enthalpy of fusion, room temperature DC conductivity and temperature dependent DC conductivity measurements with and without magnetic was carried out with as-synthesized materials. The FTR/ATR−FTIR spectra indicated the presence of different functional groups in the as-prepared composite materials. The UV−Visible absorption spectroscopic analysis showed the presence of polaron band suggesting PANI-ES form. The Room temperature DC conductivity, temperature variation DC conductivity (in presence and absence of magnetic field), and magnetoresistance (MR) of as-prepared conducting polyaniline based were analysed. The highest room temperature DC conductivity value was obtained from H2SO4 doped based composite materials and all prepared conductive composites were followed ohms law. The low temperature DC conductivity was carried out in order to study the semiconducting nature of prepared materials. The Mott type VRH model was found to be well fitted the conductivity data and described the density of states at the Fermi level which is constant in this temperature range. From MR plots, a negative MR was observed, which described the quantum interference effect on hopping conduction. We discuss different gas analytes i.e., NO2, LPG, H2, NH3, CH4, and CO of conducting polymer based materials.
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Swendsen, Robert H. An Introduction to Statistical Mechanics and Thermodynamics. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198853237.001.0001.

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This is a textbook on statistical mechanics and thermodynamics. It begins with the molecular nature of matter and the fact that we want to describe systems containing many (1020) particles. The first part of the book derives the entropy of the classical ideal gas using only classical statistical mechanics and Boltzmann’s analysis of multiple systems. The properties of this entropy are then expressed as postulates of thermodynamics in the second part of the book. From these postulates, the structure of thermodynamics is developed. Special features are systematic methods for deriving thermodynamic identities using Jacobians, the use of Legendre transforms as a basis for thermodynamic potentials, the introduction of Massieu functions to investigate negative temperatures, and an analysis of the consequences of the Nernst postulate. The third part of the book introduces the canonical and grand canonical ensembles, which are shown to facilitate calculations for many models. An explanation of irreversible phenomena that is consistent with time-reversal invariance in a closed system is presented. The fourth part of the book is devoted to quantum statistical mechanics, including black-body radiation, the harmonic solid, Bose–Einstein and Fermi–Dirac statistics, and an introduction to band theory, including metals, insulators, and semiconductors. The final chapter gives a brief introduction to the theory of phase transitions. Throughout the book, there is a strong emphasis on computational methods to make abstract concepts more concrete.
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Book chapters on the topic "Fermi quantum gas"

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Mukaiyama, Takashi, and Masahito Ueda. "Universal Thermodynamics of a Unitary Fermi Gas." In Physics of Quantum Fluids, 361–77. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-37569-9_17.

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O’Hara, K. M., M. E. Gehm, S. R. Granade, M. S. Chang, and J. E. Thomas. "Coherence in an Optically Trapped Fermi Gas." In Coherence and Quantum Optics VIII, 587–88. Boston, MA: Springer US, 2003. http://dx.doi.org/10.1007/978-1-4419-8907-9_181.

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O’Hara, K. M., M. E. Gehm, S. R. Granade, M. S. Chang, and J. E. Thomas. "Coherence in an Optically Trapped Fermi Gas." In Coherence and Quantum Optics VIII, 259–62. Boston, MA: Springer US, 2003. http://dx.doi.org/10.1007/978-1-4419-8907-9_33.

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Berhane, Bereket, and T. A. B. Kennedy. "Polarization Decay in a BCS Paired Fermi Gas." In Directions in Quantum Optics, 41–49. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-40894-0_4.

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Pu, H., W. Zhang, and P. Meystre. "Phonon excitations and stability of a Bose-Fermi mixture quantum gas." In Coherence and Quantum Optics VIII, 589–90. Boston, MA: Springer US, 2003. http://dx.doi.org/10.1007/978-1-4419-8907-9_182.

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Landau, L. J. "The Weak Coupling Limit for a Fermi Gas in a Random Potential." In Quantum and Non-Commutative Analysis, 167–78. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-017-2823-2_12.

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Tanaka, Shigenori. "Multiparticle Distribution of Fermi Gas System in Any Dimension." In Advances in the Theory of Quantum Systems in Chemistry and Physics, 249–66. Dordrecht: Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-2076-3_14.

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Jeblick, Maximilian, David Mitrouskas, and Peter Pickl. "Effective Dynamics of Two Tracer Particles Coupled to a Fermi Gas in the High-Density Limit." In Macroscopic Limits of Quantum Systems, 63–79. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01602-9_3.

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Chen, W., M. Fritze, and A. V. Nurmikko. "Fermi-Edge Singularities and Enhanced Magnetoexcitons in GaAs and (In,Ga) As Square, and (Ga,AlAs) Parabolic Single Quantum Wells." In Low-Dimensional Electronic Systems, 280–86. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-84857-5_28.

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Rammer, Jørgen. "Fermi Gas in a Random Potential." In Quantum Transport Theory, 199–231. CRC Press, 2018. http://dx.doi.org/10.1201/9780429502835-5.

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Conference papers on the topic "Fermi quantum gas"

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Jin, D. S. "Exploring a quantum degenerate Fermi gas." In XVII international conference ICAP 2000 (Atomic Physics 17). AIP, 2001. http://dx.doi.org/10.1063/1.1354365.

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Hoinka, S., M. Delehaye, E. D. Kuhnle, P. Dyke, M. Lingham, K. Fenech, H. Hu, P. Hannaford, and C. J. Vale. "Universal Properties of a Strongly Interacting Fermi Gas." In International Quantum Electronics Conference. Washington, D.C.: OSA, 2011. http://dx.doi.org/10.1364/iqec.2011.i1138.

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Strecker, Kevin E., Guthrie B. Partridge, and Randall G. Hulet. "Converting an atomic Fermi gas into a long-lived molecular Bose gas." In International Quantum Electronics Conference. Washington, D.C.: OSA, 2004. http://dx.doi.org/10.1364/iqec.2004.imi2.

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KOKKELMANS, SERVAAS, MURRAY HOLLAND, REINHOLD WALSER, and MARILU CHIOFALO. "RESONANCE SUPERFLUIDITY IN A QUANTUM DEGENERATE FERMI GAS." In Proceedings of the XV International Conference. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778307_0009.

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Habibian, Hessam, John W. Clark, Kurt Hingerl, and Michael Bergmair. "GHZ\W Type Tripartite Entanglement in Non-Interacting Fermi Gas." In International Conference on Quantum Information. Washington, D.C.: OSA, 2008. http://dx.doi.org/10.1364/icqi.2008.jmb44.

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Partridge, Guthrie B., Wenhui Li, Yean-an Liao, and Randall G. Hulet. "Phases of a fermi gas with unequal spin populations." In 2007 Quantum Electronics and Laser Science Conference. IEEE, 2007. http://dx.doi.org/10.1109/qels.2007.4431790.

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Lingham, M. G., K. Fenech, S. Hoinka, P. Dyke, E. D. Kuhnle, M. Delehaye, A. Orel, H. Hu, P. Hannaford, and C. J. Vale. "Crossover From 2D to 3D in a Weakly Interacting Fermi Gas." In International Quantum Electronics Conference. Washington, D.C.: OSA, 2011. http://dx.doi.org/10.1364/iqec.2011.i706.

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Gehm, M. E., K. M. O'Hara, S. L. Hemmer, and J. E. Thomas. "Stability of a strongly-attractive, two-component Fermi gas." In Quantum Electronics and Laser Science (QELS). Postconference Digest. IEEE, 2003. http://dx.doi.org/10.1109/qels.2003.238273.

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Hemmer, S. L., K. M. O'Hara, M. E. Gehm, and J. E. Thomas. "Measurement of the mean-field interaction in a strongly-interacting Fermi gas." In Quantum Electronics and Laser Science (QELS). Postconference Digest. IEEE, 2003. http://dx.doi.org/10.1109/qels.2003.237998.

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O'Hara, K. M., S. L. Hemmer, M. E. Gehm, and J. E. Thomas. "Observation of hydrodynamic expansion of a strongly-interacting Fermi gas: signature of superfluidity?" In Quantum Electronics and Laser Science (QELS). Postconference Digest. IEEE, 2003. http://dx.doi.org/10.1109/qels.2003.237908.

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