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1

Bramwell, Steven T., and Bernhard Keimer. "Neutron scattering from quantum condensed matter." Nature Materials 13, no. 8 (July 23, 2014): 763–67. http://dx.doi.org/10.1038/nmat4045.

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2

Laflorencie, Nicolas. "Quantum entanglement in condensed matter systems." Physics Reports 646 (August 2016): 1–59. http://dx.doi.org/10.1016/j.physrep.2016.06.008.

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3

D'Errico, C., S. Scaffidi Abbate, and G. Modugno. "Quantum phase slips: from condensed matter to ultracold quantum gases." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 375, no. 2108 (October 30, 2017): 20160425. http://dx.doi.org/10.1098/rsta.2016.0425.

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Quantum phase slips (QPS) are the primary excitations in one-dimensional superfluids and superconductors at low temperatures. They have been well characterized in most condensed-matter systems, and signatures of their existence have been recently observed in superfluids based on quantum gases too. In this review, we briefly summarize the main results obtained on the investigation of phase slips from superconductors to quantum gases. In particular, we focus our attention on recent experimental results of the dissipation in one-dimensional Bose superfluids flowing along a shallow periodic potential, which show signatures of QPS. This article is part of the themed issue ‘Breakdown of ergodicity in quantum systems: from solids to synthetic matter’.
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4

Baranov, M. A., M. Dalmonte, G. Pupillo, and P. Zoller. "Condensed Matter Theory of Dipolar Quantum Gases." Chemical Reviews 112, no. 9 (August 9, 2012): 5012–61. http://dx.doi.org/10.1021/cr2003568.

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5

Miyashita, Seiji. "Quantum mechanical effects on condensed matter phenomena." Physica A: Statistical Mechanics and its Applications 281, no. 1-4 (June 2000): 420–31. http://dx.doi.org/10.1016/s0378-4371(00)00029-7.

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6

Schrieffer, J. R. "Novel quantum numbers in condensed matter physics." Current Applied Physics 4, no. 5 (August 2004): 465–72. http://dx.doi.org/10.1016/j.cap.2004.01.001.

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7

Tsvelik, Alexi M., and Allan Macdonald. "Quantum Field Theory in Condensed Matter Physics." Physics Today 50, no. 2 (February 1997): 66. http://dx.doi.org/10.1063/1.881712.

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8

Inoshita, T. "CONDENSED MATTER PHYSICS:Kondo Effect in Quantum Dots." Science 281, no. 5376 (July 24, 1998): 526–27. http://dx.doi.org/10.1126/science.281.5376.526.

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9

Dovesi, Roberto, Alessandro Erba, Roberto Orlando, Claudio M. Zicovich-Wilson, Bartolomeo Civalleri, Lorenzo Maschio, Michel Rérat, et al. "Quantum-mechanical condensed matter simulations with CRYSTAL." Wiley Interdisciplinary Reviews: Computational Molecular Science 8, no. 4 (March 4, 2018): e1360. http://dx.doi.org/10.1002/wcms.1360.

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10

CHAPLINE, GEORGE. "QUANTUM PHASE TRANSITIONS AND EVENT HORIZONS: CONDENSED MATTER ANALOGIES." International Journal of Modern Physics B 20, no. 19 (July 30, 2006): 2647–50. http://dx.doi.org/10.1142/s0217979206035126.

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Although it has been generally believed that classical general relativity is always correct for macroscopic length scales, certain predictions such as event horizons and closed time-like curves are inconsistent with ordinary quantum mechanics. It has recently been pointed out that the event horizon problem can be resolved if space-time undergoes a quantum phase transition as one approaches the surface where general relativity predicts that the redshift becomes infinite. Indeed a thought experiment involving a superfluid with a critical point makes such a suggestion appear plausible. Furthermore the behavior of space-time near an event horizon may resemble quantum phase transitions that have been observed in the laboratory. For example, the phenomenology of metamagnetic quantum critical points in heavy fermion materials resembles the behavior expected, both in terms of time standing still and the behavior of quantum correlation functions. Martensitic transformations accompanied by non-adiabatic changes in the electronic wave function are also interesting in this connection.
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11

Shen, Shun-Qing. "The family of topological phases in condensed matter†." National Science Review 1, no. 1 (December 24, 2013): 49–59. http://dx.doi.org/10.1093/nsr/nwt033.

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Abstract The discovery of topological insulators and superconductors is an important advance in condensed matter physics. Topological phases reflect global properties of the quantum states in materials, and the boundary states are the characteristic of the materials. Such phases constitute a new branch in condensed matter physics. Here a historic development is briefly introduced, and the known family of phases in condensed matter are summarized.
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12

Huppert, Simon, Thomas Plé, Sara Bonella, Philippe Depondt, and Fabio Finocchi. "Simulation of Nuclear Quantum Effects in Condensed Matter Systems via Quantum Baths." Applied Sciences 12, no. 9 (May 9, 2022): 4756. http://dx.doi.org/10.3390/app12094756.

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This paper reviews methods that aim at simulating nuclear quantum effects (NQEs) using generalized thermal baths. Generalized (or quantum) baths simulate statistical quantum features, and in particular zero-point energy effects, through non-Markovian stochastic dynamics. They make use of generalized Langevin Equations (GLEs), in which the quantum Bose–Einstein energy distribution is enforced by tuning the random and friction forces, while the system degrees of freedom remain classical. Although these baths have been formally justified only for harmonic oscillators, they perform well for several systems, while keeping the cost of the simulations comparable to the classical ones. We review the formal properties and main characteristics of classical and quantum GLEs, in relation with the fluctuation–dissipation theorems. Then, we describe the quantum thermostat and quantum thermal bath, the two generalized baths currently most used, providing several examples of applications for condensed matter systems, including the calculation of vibrational spectra. The most important drawback of these methods, zero-point energy leakage, is discussed in detail with the help of model systems, and a recently proposed scheme to monitor and mitigate or eliminate it—the adaptive quantum thermal bath—is summarised. This approach considerably extends the domain of application of generalized baths, leading, for instance, to the successful simulation of liquid water, where a subtle interplay of NQEs is at play. The paper concludes by overviewing further development opportunities and open challenges of generalized baths.
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13

Kennes, Dante M., Martin Claassen, Lede Xian, Antoine Georges, Andrew J. Millis, James Hone, Cory R. Dean, D. N. Basov, Abhay N. Pasupathy, and Angel Rubio. "Moiré heterostructures as a condensed-matter quantum simulator." Nature Physics 17, no. 2 (February 2021): 155–63. http://dx.doi.org/10.1038/s41567-020-01154-3.

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14

Hamma, Alioscia, and Fotini Markopoulou. "Background-independent condensed matter models for quantum gravity." New Journal of Physics 13, no. 9 (September 14, 2011): 095006. http://dx.doi.org/10.1088/1367-2630/13/9/095006.

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15

Stishov, Sergei M. "Quantum effects in condensed matter at high pressure." Physics-Uspekhi 44, no. 3 (March 31, 2001): 285–90. http://dx.doi.org/10.1070/pu2001v044n03abeh000842.

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16

Stishov, Sergei M. "Quantum effects in condensed matter at high pressure." Uspekhi Fizicheskih Nauk 171, no. 3 (2001): 299. http://dx.doi.org/10.3367/ufnr.0171.200103c.0299.

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17

Resnick, Andrew. "Quantum field theory and condensed matter, an introduction." Contemporary Physics 59, no. 4 (October 2, 2018): 416–17. http://dx.doi.org/10.1080/00107514.2018.1531931.

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18

Resnick, Andrew. "Quantum field theory approach to condensed matter physics." Contemporary Physics 59, no. 4 (October 2, 2018): 417. http://dx.doi.org/10.1080/00107514.2018.1531933.

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19

Chandrasekharan, Shailesh. "Connections between quantum chromodynamics and condensed matter physics." Pramana 61, no. 5 (November 2003): 901–10. http://dx.doi.org/10.1007/bf02704458.

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20

Seife, C. "CONDENSED MATTER: Quantum Condensate Gets a Fresh Squeeze." Science 293, no. 5539 (September 28, 2001): 2368a—2368. http://dx.doi.org/10.1126/science.293.5539.2368a.

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21

Hofstetter, W., and T. Qin. "Quantum simulation of strongly correlated condensed matter systems." Journal of Physics B: Atomic, Molecular and Optical Physics 51, no. 8 (March 29, 2018): 082001. http://dx.doi.org/10.1088/1361-6455/aaa31b.

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22

Shi, Yu. "Quantum entanglement in second-quantized condensed matter systems." Journal of Physics A: Mathematical and General 37, no. 26 (June 17, 2004): 6807–22. http://dx.doi.org/10.1088/0305-4470/37/26/014.

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23

BYRD, M. S., and L. A. WU. "CONTROL AND ERROR PREVENTION IN CONDENSED MATTER QUANTUM COMPUTING DEVICES." International Journal of Modern Physics B 21, no. 13n14 (May 30, 2007): 2505–16. http://dx.doi.org/10.1142/s0217979207043841.

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Proposals for scalable quantum computing devices suffer not only from decoherence due to their interaction with the environment, but also from severe engineering constraints. For example, our ability to implement quantum gates is determined, in part, by the experimentally available interactions with which quantum information may be processed. Here we review a practical solution to some of the major concerns, control and error prevention, addressing solid state proposals for quantum computing devices. Some noise is eliminated by encoding a logical qubit into two qubits, other noise is reduced by an efficient set of decoupling pulse sequences. The same encoding removes the need for single-qubit operations which pose a difficult design constraint. We also discuss several generalizations which follow from this work.
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24

Xu, Luogen, J. T. Lee, and J. K. Freericks. "Test of the unitary coupled-cluster variational quantum eigensolver for a simple strongly correlated condensed-matter system." Modern Physics Letters B 34, no. 19n20 (July 15, 2020): 2040049. http://dx.doi.org/10.1142/s0217984920400497.

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The variational quantum eigensolver has been proposed as a low-depth quantum circuit that can be employed to examine strongly correlated systems on today’s noisy intermediate-scale quantum computers. We examine details associated with the factorized form of the unitary coupled-cluster variant of this algorithm. We apply it to a simple strongly correlated condensed-matter system with nontrivial behavior — the four-site Hubbard model at half-filling. This work show some of the subtle issues one needs to take into account when applying this algorithm in practice, especially to condensed-matter systems.
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25

Dartora, C. A., Fernando Zanella, and G. G. Cabrera. "Emergence of fractional quantum mechanics in condensed matter physics." Physics Letters A 415 (November 2021): 127643. http://dx.doi.org/10.1016/j.physleta.2021.127643.

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26

Stishov, S. M. "On quantum effects in condensed matter at high pressures." Philosophical Magazine B 81, no. 2 (February 2001): 179–91. http://dx.doi.org/10.1080/13642810108216534.

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27

Scalapino, D. J. "Simulations: A tool for studying quantum condensed matter systems." Journal of Statistical Physics 43, no. 5-6 (June 1986): 757–70. http://dx.doi.org/10.1007/bf02628303.

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28

Juzeliūnas, Gediminas, and David L. Andrews. "Quantum electrodynamics of resonant energy transfer in condensed matter." Physical Review B 49, no. 13 (April 1, 1994): 8751–63. http://dx.doi.org/10.1103/physrevb.49.8751.

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29

Van Vliet, Carolyne M. "Quantum electrodynamical theory of infrared effects in condensed matter." Physica A: Statistical Mechanics and its Applications 165, no. 1 (May 1990): 101–25. http://dx.doi.org/10.1016/0378-4371(90)90245-n.

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30

Van Vliet, Carolyne M. "Quantum electrodynamical theory of infrared effects in condensed matter." Physica A: Statistical Mechanics and its Applications 165, no. 1 (May 1990): 126–55. http://dx.doi.org/10.1016/0378-4371(90)90246-o.

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31

Wang, De Feng. "Research of Condensed Matter Physics Based on Ultrafast Spectroscopy." Applied Mechanics and Materials 644-650 (September 2014): 1418–21. http://dx.doi.org/10.4028/www.scientific.net/amm.644-650.1418.

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Ultrafast spectroscopy has many characteristics, which has attracted much attention in recent years. It is of high time resolution, rich nonlinear interaction of light and matter. It can be used to regulate the quantum state of matter coherent photons and its derivatives and grafting technology bring a lot of changes in condensed matter physics experiment technology. This article introduces the general principles time-resolved technique and typical configuration of ultrafast spectroscopy. Through specific examples this paper shows its applications in condensed matter physics research.
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32

Bravo-Prieto, Carlos, Josep Lumbreras-Zarapico, Luca Tagliacozzo, and José I. Latorre. "Scaling of variational quantum circuit depth for condensed matter systems." Quantum 4 (May 28, 2020): 272. http://dx.doi.org/10.22331/q-2020-05-28-272.

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We benchmark the accuracy of a variational quantum eigensolver based on a finite-depth quantum circuit encoding ground state of local Hamiltonians. We show that in gapped phases, the accuracy improves exponentially with the depth of the circuit. When trying to encode the ground state of conformally invariant Hamiltonians, we observe two regimes. A finite-depth regime, where the accuracy improves slowly with the number of layers, and a finite-size regime where it improves again exponentially. The cross-over between the two regimes happens at a critical number of layers whose value increases linearly with the size of the system. We discuss the implication of these observations in the context of comparing different variational ansatz and their effectiveness in describing critical ground states.
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33

HWANG, Kyusung. "Kitaev Quantum Spin Liquid." Physics and High Technology 31, no. 9 (September 30, 2022): 7–16. http://dx.doi.org/10.3938/phit.31.028.

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Quantum spin liquid is a phase of matter featured with quantum entanglement and fractionalization, and it has been sought after in condensed matter. Kitaev quantum spin liquid has been of particular interest due to the emergent quasiparticles of Majorana fermion, which is proposed as a venue for quantum computations. Recently, experimental evidences for Majorana fermion have been reported in the Kitaev quantum magnet -RuCl3. Half-integer quantized thermal Hall effect and field-angle dependent Majorana gap were experimentally observed. In this article, we review physics of Kitaev quantum spin liquid and recent advances in experiments.
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34

SIVASUBRAMANIAN, S., A. WIDOM, and Y. N. SRIVASTAVA. "LANDAU GHOSTS AND ANTI-GHOSTS IN CONDENSED MATTER AND HIGH DENSITY HADRONIC MATTER." Modern Physics Letters B 16, no. 30 (December 30, 2002): 1201–9. http://dx.doi.org/10.1142/s0217984902004834.

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It is observed that the "ghost" (originally discovered by Landau in quantum electro-dynamics) and its counterparts in other theories are indeed ubiquitous as they occur in a one-loop approximation to any conventional (unbroken) gauge theory. The mechanism is first exposed in its generality via the Dyson equation and a simple but explicit example in condensed matter is provided through the static Clausius–Mossotti equation and its dynamic counterpart, the Lorenz–Lorentz equation. The physical phase transition phenomenon associated with it is found to be super-radiance. We verify quantitatively that water (and many other polar liquids) are indeed super-radiant at room temperature. In quantum chromo-dynamics on the other hand, we encounter, thanks to asymptotic freedom, an "anti-ghost" which is closely associated with color confinement. Thus, in QCD, free quarks and glue exist in a super-radiant phase and hadronic matter exists in the normal one.
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35

HUANG, Y. C., F. C. MA, and N. ZHANG. "GENERALIZATION OF CLASSICAL STATISTICAL MECHANICS TO QUANTUM MECHANICS AND STABLE PROPERTY OF CONDENSED MATTER." Modern Physics Letters B 18, no. 26n27 (November 20, 2004): 1367–77. http://dx.doi.org/10.1142/s0217984904007955.

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Classical statistical average values are generally generalized to average values of quantum mechanics. It is discovered that quantum mechanics is a direct generalization of classical statistical mechanics, and we generally deduce both a new general continuous eigenvalue equation and a general discrete eigenvalue equation in quantum mechanics, and discover that a eigenvalue of quantum mechanics is just an extreme value of an operator in possibility distribution, the eigenvalue f is just classical observable quantity. A general classical statistical uncertain relation is further given, and the general classical statistical uncertain relation is generally generalized to the quantum uncertainty principle; the two lost conditions in classical uncertain relation and quantum uncertainty principle, respectively, are found. We generally expound the relations among the uncertainty principle, singularity and condensed matter stability, discover that the quantum uncertainty principle prevents the appearance of singularity of the electromagnetic potential between nucleus and electrons, and give the failure conditions of the quantum uncertainty principle. Finally, we discover that the classical limit of quantum mechanics is classical statistical mechanics, the classical statistical mechanics may further be degenerated to classical mechanics and we discover that merely stating that the classical limit of quantum mechanics is classical mechanics is a mistake. As application examples, we deduce both the Schrödinger equation and the state superposition principle, and deduce that there exists a decoherent factor from a general mathematical representation of the state superposition principle; the consistent difficulty between statistical interpretation of quantum mechanics and determinant property of classical mechanics is overcome.
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36

CLARK, JOHN W. "CHARLES CAMPBELL AT SIXTY-FIVE: A TRIBUTE TO INNOVATION AND ENDURING DEDICATION." International Journal of Modern Physics B 22, no. 25n26 (October 20, 2008): 4291–95. http://dx.doi.org/10.1142/s0217979208050048.

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A retrospective of the career of Charles E. Campbell in condensed matter physics is presented as a tribute to his pathbreaking contributions to quantum many-body theory and his selfless dedication to the advancement of the research community associated with the Condensed Matter Workshop series.
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37

Kvon, Ze Don. "Semiconductor Quantum Wells and Nanostructures." Nanomaterials 13, no. 13 (June 24, 2023): 1924. http://dx.doi.org/10.3390/nano13131924.

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Semiconductor quantum wells and nanostructures have been the main quantum and classical physical objects in condensed matter physics for over half a century, since the discovery of the two-dimensional electron gas in silicon MOSFETs and size quantization in thin bismuth films [...]
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38

SHANKAR, R. "A CONDENSED MATTER ANALOG OF QCD WITH QUARKS." International Journal of Modern Physics B 08, no. 04 (February 14, 1994): 417–28. http://dx.doi.org/10.1142/s0217979294000154.

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It is well known that the d = 1 + 1 nonlinear sigma model is a remarkable analog of pure Yang-Mills theory in d = 3 + 1 and that the former in turn arises in the study of Quantum Spin Chains. It is shown that, upon doping with holes, the chain is described by a fully relativistic theory of Dirac fermions coupled to the sigma model by a gauge interaction. The theory is seen to mimic QCD with quarks in many remarkable ways.
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39

Leggett, A. J. "Majorana fermions in condensed-matter physics." International Journal of Modern Physics B 30, no. 19 (July 20, 2016): 1630012. http://dx.doi.org/10.1142/s0217979216300127.

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It is an honor and a pleasure to have been invited to give a talk in this conference celebrating the memory of the late Professor Abdus Salam. To my regret, I did not know Professor Salam personally, but I am very aware of his work and of his impact on my area of specialization, condensed matter physics, both intellectually through his ideas on spontaneously broken symmetry and more practically through his foundation of the ICTP. Since I assume that most of this audience are not specialized in condensed-matter physics, I thought I would talk about one topic which to some extent bridges this field and the particle-physics interests of Salam, namely Majorana fermions (M.F.s). However, as we shall see, the parallels which are often drawn in the current literature may be a bit too simplistic. I will devote most of this talk to a stripped-down exposition of the current orthodoxy concerning M.F.s. in condensed-matter physics and their possible applications to topological quantum computing (TQC), and then at the end briefly indicate why I believe this orthodoxy may be seriously misleading.
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40

KIM,, Keun-Young, Yongjun AHN, and Hyun-Sik JEONG. "Holography: Gravity = Quantum Physics?" Physics and High Technology 29, no. 11 (November 30, 2020): 31–36. http://dx.doi.org/10.3938/phit.29.042.

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Holography in high-energy theory means a duality between gravity and quantum physics. A popular catchphrase is “gravity = quantum physics”. In this duality, the spacetime dimension of gravity theory is higher than the dimension of quantum theory, so the duality is dubbed “holography”. In this article, we explain, in chronological order, the basic concepts of holography and its various applications to quantum chromodynamics, condensed matter physics, and quantum information.
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41

MATSUURA, HIROYUKI. "RELATIVISTIC QUANTUM FIELD THEORY FOR CONDENSED SYSTEMS-(I): (GENERAL FORMALISM)." International Journal of Modern Physics B 17, no. 25 (October 10, 2003): 4477–90. http://dx.doi.org/10.1142/s0217979203023069.

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We proposed Atomic Schwinger–Dyson method (ASD method) in this paper, which was the nonperturbative and finite relativistic quantum field theory, and we treat many electron system and electronic matter. The ASD formalism consists of coupled Dyson equations of electrons and photons. Since, it includes self-energies in a nonperturbative way, higher-order correlations beyond Hartee–Fock approximation are taken into account. Some important differences between the ASD formalism for the system of finite electron density and SD formalism of zero electron density are shown. The main difference is due to the existence of condensed photon field, symmetry breaking, and what we call, Coulomb's potential. By paying special attention to the treatment of the condensed photon fields, the coupled Dyson equations of electron and photon are derived based on functional propagator method. It is shown that this treatment of the condensed fields naturally leads to tadpole energy, which cancels the Hartree energy. By using these photon propagators, explicit expression of ASD coupled equations and the energy density of matters are derived for numerical calculations in a subsequent paper. Similarities and differences between ASD and traditional methods such as the mean field theory or the Hartree–Fock method are discussed; it is shown that these traditional methods were included in our ASD formalism.
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42

Fröhlich, Jürg. "Gauge invariance and anomalies in condensed matter physics." Journal of Mathematical Physics 64, no. 3 (March 1, 2023): 031903. http://dx.doi.org/10.1063/5.0135142.

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This paper begins with a summary of a powerful formalism for the study of electronic states in condensed matter physics called “gauge theory of states/phases of matter.” The chiral anomaly, which plays quite a prominent role in that formalism, is recalled. I then sketch an application of the chiral anomaly in 1 + 1 dimensions to quantum wires. Subsequently, some elements of the quantum Hall effect in two-dimensional (2D) gapped (“incompressible”) electron liquids are reviewed. In particular, I discuss the role of anomalous chiral edge currents and of the anomaly inflow in 2D gapped electron liquids with explicitly or spontaneously broken time reversal, i.e., in Hall and Chern insulators. The topological Chern–Simons action yielding transport equations valid in the bulk of such systems and the associated anomalous edge action are derived. The results of a general classification of “Abelian” Hall insulators are outlined. After some remarks on induced Chern–Simons actions, I sketch results on certain 2D chiral photonic wave guides. I then continue with an analysis of chiral edge spin-currents and bulk response equations in time-reversal invariant 2D topological insulators of electron gases with spin–orbit interactions. The “chiral magnetic effect” in 3D systems and axion-electrodynamics are reviewed next. This prepares the ground for an outline of a general theory of 3D topological insulators, including “axionic insulators.” Some remarks on Weyl semi-metals, which exhibit the chiral magnetic effect, and on Mott transitions in 3D systems with dynamical axion-like degrees of freedom conclude this review.
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43

Chakravarty, S. "CONDENSED MATTER PHYSICS: Enhanced: Quantum Magnetism and Its Many Avatars." Science 278, no. 5342 (November 21, 1997): 1412–13. http://dx.doi.org/10.1126/science.278.5342.1412.

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44

Kuzemsky, A. L. "Symmetry breaking, quantum protectorate and quasiaverages in condensed matter physics." Physics of Particles and Nuclei 41, no. 7 (November 26, 2010): 1031–34. http://dx.doi.org/10.1134/s1063779610070117.

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45

Katsnelson, M. I., and K. S. Novoselov. "Graphene: New bridge between condensed matter physics and quantum electrodynamics." Solid State Communications 143, no. 1-2 (July 2007): 3–13. http://dx.doi.org/10.1016/j.ssc.2007.02.043.

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46

Bain, Jonathan. "Three principles of quantum gravity in the condensed matter approach." Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 46 (May 2014): 154–63. http://dx.doi.org/10.1016/j.shpsb.2013.09.007.

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47

Logan, D. E. "Many-Body Quantum Theory in Condensed Matter Physics—An Introduction." Journal of Physics A: Mathematical and General 38, no. 8 (February 10, 2005): 1829–30. http://dx.doi.org/10.1088/0305-4470/38/8/b01.

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48

Yuan, Min, Wei-xiao Ji, Miao-juan Ren, Ya-ping Wang, and Hui Zhao. "Quantum spin Hall state in cyanided dumbbell stanene." RSC Advances 6, no. 89 (2016): 86089–94. http://dx.doi.org/10.1039/c6ra19107j.

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Searching for two-dimensional (2D) quantum spin Hall (QSH) insulators with a large band gap, in which the Quantum spin Hall effect (QSHE) can be observed at high temperature, is an important goal for condensed matter physics researchers.
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49

Boschker, H., and J. Mannhart. "Quantum-Matter Heterostructures." Annual Review of Condensed Matter Physics 8, no. 1 (March 31, 2017): 145–64. http://dx.doi.org/10.1146/annurev-conmatphys-031016-025404.

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50

Nozari, Kourosh, Z. Haghani, and J. Vahedi. "Thomas-Fermi Model in the Presence of Natural Cutoffs." Advances in High Energy Physics 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/418342.

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Abstract:
It has been revealed, in the context of quantum gravity candidates, that measurement of position cannot be done with arbitrary precision and there is a finite resolution of space-time points. This leads naturally to a minimal measurable length of the order of Planck length. Also, in the context of newly proposed doubly special relativity theories, a test particle’s momentum cannot be arbitrarily imprecise leading nontrivially to a maximal momentum for a test particle. These two natural cutoffs affects most of quantum field theoretic arguments in the spirit of condensed matter physics. Here we focus on the role of these natural cutoffs on Thomas-Fermi theory in condensed matter physics. We show how quantum gravity effects can play important role phenomenologically in many-body interactions of solids.
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