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1

Griffin, Allan, David W. Snoke, Sandro Stringari, and Thomas Greytak. "Bose–Einstein Condensation." Physics Today 48, no. 10 (October 1995): 63. http://dx.doi.org/10.1063/1.2808208.

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2

Townsend, Christopher, Wolfgang Ketterle, and Sandro Stringari. "Bose-Einstein condensation." Physics World 10, no. 3 (March 1997): 29–36. http://dx.doi.org/10.1088/2058-7058/10/3/21.

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3

Doyle, J. "Bose-Einstein condensation." Proceedings of the National Academy of Sciences 94, no. 7 (April 1, 1997): 2774–75. http://dx.doi.org/10.1073/pnas.94.7.2774.

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4

Silvera, Isaac F. "Bose–Einstein condensation." American Journal of Physics 65, no. 6 (June 1997): 570–74. http://dx.doi.org/10.1119/1.18591.

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5

Jaksch, D. "Bose-Einstein Condensation." Journal of Physics A: Mathematical and General 36, no. 37 (September 2, 2003): 9797. http://dx.doi.org/10.1088/0305-4470/36/37/701.

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6

Nityananda, R. "Bose-Einstein condensation." Resonance 5, no. 4 (April 2000): 46–51. http://dx.doi.org/10.1007/bf02837905.

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7

Nityananda, R. "Bose-Einstein condensation." Resonance 10, no. 12 (December 2005): 142–47. http://dx.doi.org/10.1007/bf02835137.

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8

ERTİK, HÜSEYİN, HÜSEYİN ŞİRİN, DOǦAN DEMİRHAN, and FEVZİ BÜYÜKKİLİÇ. "FRACTIONAL MATHEMATICAL INVESTIGATION OF BOSE–EINSTEIN CONDENSATION IN DILUTE 87Rb, 23Na AND 7Li ATOMIC GASES." International Journal of Modern Physics B 26, no. 17 (June 21, 2012): 1250096. http://dx.doi.org/10.1142/s0217979212500968.

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Although atomic Bose gases are experimentally investigated in the dilute regime, interparticle interactions play an important role on the transition temperatures of Bose–Einstein condensation. In this study, Bose–Einstein condensation is handled using fractional calculus for a Bose gas consisting of interacting bosons which are trapped in a three-dimensional harmonic oscillator. In this frame, in order to introduce the nonextensive effect, fractionally generalized Bose–Einstein distribution function which features Mittag–Leffler function is adopted. The dependence of the transition temperature of Bose–Einstein condensation on α (a measure of fractality of space) has been established. The transition temperatures for the dilute 87 Rb , 23 Na and 7 Li atomic gases have been obtained in consistent with experimental data and the nature of the interactions in the Bose–Einstein condensate has been enlightened. In the course of our investigations, we have arrived to the conclusion that for α < 1 attractive interactions and for α > 1 repulsive interactions are predominant.
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9

Burnett, K., M. Edwards, and C. W. Clark. "Bose-Einstein condensation - Preface." Journal of Research of the National Institute of Standards and Technology 101, no. 4 (July 1996): iii. http://dx.doi.org/10.6028/jres.101.002.

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10

Ferrari, Loris. "Approaching Bose–Einstein condensation." European Journal of Physics 32, no. 6 (October 4, 2011): 1547–57. http://dx.doi.org/10.1088/0143-0807/32/6/009.

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11

Scharf, G. "On Bose–Einstein condensation." American Journal of Physics 61, no. 9 (September 1993): 843–45. http://dx.doi.org/10.1119/1.17416.

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12

Mullin, William J., and Asaad R. Sakhel. "Generalized Bose–Einstein Condensation." Journal of Low Temperature Physics 166, no. 3-4 (October 25, 2011): 125–50. http://dx.doi.org/10.1007/s10909-011-0412-7.

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13

Nityananda, Rajaram. "Bose-Einstein condensation observed." Resonance 1, no. 2 (February 1996): 111–14. http://dx.doi.org/10.1007/bf02835710.

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14

TOYODA, Kenji, Yoshiro TAKAHASHI, and Tsutomu YABUZAKI. "Laser Cooling and Bose-Einstein Condensation. Bose-Einstein Condensation in Atomic Gases." Review of Laser Engineering 28, no. 3 (2000): 141–46. http://dx.doi.org/10.2184/lsj.28.141.

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15

Tomczyk, Hannah. "Did Einstein predict Bose-Einstein condensation?" Studies in History and Philosophy of Science 93 (June 2022): 30–38. http://dx.doi.org/10.1016/j.shpsa.2022.02.014.

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16

Ieda, Jun'ichi, Takeya Tsurumi, and Miki Wadati. "Bose–Einstein Condensation of Ideal Bose Gases." Journal of the Physical Society of Japan 70, no. 5 (May 15, 2001): 1256–59. http://dx.doi.org/10.1143/jpsj.70.1256.

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17

MATSUI, TAKU. "BEC OF FREE BOSONS ON NETWORKS." Infinite Dimensional Analysis, Quantum Probability and Related Topics 09, no. 01 (March 2006): 1–26. http://dx.doi.org/10.1142/s0219025706002202.

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We consider free bosons hopping on a network (infinite graph). The condition for Bose–Einstein condensation is given in terms of the random walk on a graph. In case of periodic lattices, we also consider boson moving in an external periodic potential and obatin the criterion for Bose–Einstein condensation.
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18

Lemm, Marius, and Oliver Siebert. "Bose–Einstein condensation on hyperbolic spaces." Journal of Mathematical Physics 63, no. 8 (August 1, 2022): 081903. http://dx.doi.org/10.1063/5.0088383.

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A well-known conjecture in mathematical physics asserts that the interacting Bose gas exhibits Bose–Einstein condensation (BEC) in the thermodynamic limit. We consider the Bose gas on certain hyperbolic spaces. In this setting, one obtains a short proof of BEC in the infinite-volume limit from the existence of a volume-independent spectral gap of the Laplacian.
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19

Sekh, Golam Ali, and Benoy Talukdar. "Satyendra Nath Bose: quantum statistics to Bose-Einstein condensation." Moldavian Journal of the Physical Sciences 22, no. 1 (December 2023): 11–42. http://dx.doi.org/10.53081/mjps.2023.22-1.01.

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Satyendra Nath (S.N.) Bose is one of the great Indian scientists. His remarkable work on the black body radiation or derivation of Planck’s law led to quantum statistics, in particular, the statistics of photon. Albert Einstein applied Bose’s idea to a gas made of atoms and predicted a new state of matter now called Bose-Einstein condensate. It took 70 years to observe the predicted condensation phenomenon in the laboratory. With a brief introduction to the formative period of Professor Bose, this research survey begins with the founding works on quantum statistics and, subsequently, provides a brief account of the series of events terminating in the experimental realization of Bose-Einstein condensation. We also provide two simple examples to visualize the role of synthetic spin-orbit coupling in a quasi-one-dimensional condensate with attractive atom-atom interaction.
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20

Manna, Premabrata, and Satadal Bhattacharyya. "Thermodynamics of Bose—Einstein Condensation." Resonance 27, no. 9 (September 24, 2022): 1579–96. http://dx.doi.org/10.1007/s12045-022-1450-y.

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21

Harrison, N., S. E. Sebastian, C. D. Batista, M. Jaime, L. Balicas, P. A. Sharma, N. Kawashima, and I. R. Fisher. "Bose-Einstein condensation in BaCuSi2O6." Journal of Physics: Conference Series 51 (November 1, 2006): 9–14. http://dx.doi.org/10.1088/1742-6596/51/1/002.

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22

Begun, Viktor. "High temperature Bose-Einstein condensation." EPJ Web of Conferences 126 (2016): 03002. http://dx.doi.org/10.1051/epjconf/201612603002.

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23

Deng, Hui, Hartmut Haug, and Yoshihisa Yamamoto. "Exciton-polariton Bose-Einstein condensation." Reviews of Modern Physics 82, no. 2 (May 12, 2010): 1489–537. http://dx.doi.org/10.1103/revmodphys.82.1489.

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24

van Zoest, T., N. Gaaloul, Y. Singh, H. Ahlers, W. Herr, S. T. Seidel, W. Ertmer, et al. "Bose-Einstein Condensation in Microgravity." Science 328, no. 5985 (June 17, 2010): 1540–43. http://dx.doi.org/10.1126/science.1189164.

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25

Jochim, S. "Bose-Einstein Condensation of Molecules." Science 302, no. 5653 (December 19, 2003): 2101–3. http://dx.doi.org/10.1126/science.1093280.

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26

Tang, Yijun, Nathaniel Q. Burdick, Kristian Baumann, and Benjamin L. Lev. "Bose–Einstein condensation of162Dy and160Dy." New Journal of Physics 17, no. 4 (April 14, 2015): 045006. http://dx.doi.org/10.1088/1367-2630/17/4/045006.

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27

Weber, T. "Bose-Einstein Condensation of Cesium." Science 299, no. 5604 (December 5, 2002): 232–35. http://dx.doi.org/10.1126/science.1079699.

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28

Yukalov, V. I. "Basics of Bose-Einstein condensation." Physics of Particles and Nuclei 42, no. 3 (May 2011): 460–513. http://dx.doi.org/10.1134/s1063779611030063.

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29

Michoel, T., and A. Verbeure. "Nonextensive Bose–Einstein condensation model." Journal of Mathematical Physics 40, no. 3 (March 1999): 1268–79. http://dx.doi.org/10.1063/1.532800.

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30

Salas, P., M. Fortes, M. de Llano, F. J. Sevilla, and M. A. Solís. "Bose-Einstein Condensation in Multilayers." Journal of Low Temperature Physics 159, no. 5-6 (March 9, 2010): 540–48. http://dx.doi.org/10.1007/s10909-010-0166-7.

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31

Sackett, C. A., C. C. Bradley, M. Welling, and R. G. Hulet. "Bose-Einstein condensation of lithium." Applied Physics B: Lasers and Optics 65, no. 4-5 (October 1, 1997): 433–40. http://dx.doi.org/10.1007/s003400050293.

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32

Tino, G. M., and M. Inguscio. "Experiments on Bose-Einstein condensation." La Rivista del Nuovo Cimento 22, no. 4 (April 1999): 1–43. http://dx.doi.org/10.1007/bf02874384.

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33

Stoof, H. T. C. "Nucleation of Bose-Einstein condensation." Physical Review A 45, no. 12 (June 1, 1992): 8398–406. http://dx.doi.org/10.1103/physreva.45.8398.

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34

Wang, Boyuan. "Review on Bose-Einstein Condensation." Highlights in Science, Engineering and Technology 38 (March 16, 2023): 19–29. http://dx.doi.org/10.54097/hset.v38i.5689.

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With the prevalence of quantum theory, many physicists have focused on the Bose-Einstein condensation (BEC) because it reveals the quantum behavior macroscopically. This article discusses briefly the discovery of BEC and the difficulties to achieve BEC. After that, the general procedures to achieve BEC are introduced while the mechanism of important techniques to accomplish each procedure is illustrated, such as laser cooling, trapping, and evaporative cooling. Besides, the unique physical properties of BEC are introduced in this article. Finally, the possible application of BEC in the field of an atom laser, simulation, and the atomic clock is evaluated.
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35

Liu, Yong. "The Bose-Einstein condensation of anyons." Australian Journal of Physics 53, no. 3 (2000): 447. http://dx.doi.org/10.1071/ph99062.

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The probability for the Bose-Einstein condensation of anyons is discussed. It is found that the ideal anyon gas near Bose statistics can display BEC behaviour. In addition, the transition point and the specific heat are determined.
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36

Snoke, D. W. "Coherence and Optical Emission from Bilayer Exciton Condensates." Advances in Condensed Matter Physics 2011 (2011): 1–7. http://dx.doi.org/10.1155/2011/938609.

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Experiments aimed at demonstrating Bose-Einstein condensation of excitons in two types of experiments with bilayer structures (coupled quantum wells) are reviewed, with an emphasis on the basic effects. Bose-Einstein condensation implies the existence of a macroscopic coherence, also known as off-diagonal long-range order, and proposed tests and past claims for coherence in these excitonic systems are discussed.
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37

Wieman, Carl E. "Bose–Einstein Condensation in an Ultracold Gas." International Journal of Modern Physics B 11, no. 28 (November 10, 1997): 3281–96. http://dx.doi.org/10.1142/s0217979297001581.

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Bose–Einstein condensation in a gas has now been achieved. Atoms are cooled to the point of condensation using laser cooling and trapping, followed by magnetic trapping and evaporative cooling. These techniques are explained, as well as the techniques by which we observe the cold atom samples. Three different signatures of Bose–Einstein condensation are described. A number of properties of the condensate, including collective excitations, distortions of the wave function by interactions, and the fraction of atoms in the condensate versus temperature, have also been measured.
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38

Khalilov, V. R., Choon-Lin Ho, and Chi Yang. "Condensation and Magnetization of Charged Vector Boson Gas." Modern Physics Letters A 12, no. 27 (September 7, 1997): 1973–81. http://dx.doi.org/10.1142/s0217732397002028.

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The magnetic properties of charged vector boson gas are studied in the very weak, and very strong (near critical value) external magnetic field limits. When the density of the vector boson gas is low, or when the external field is strong, no true Bose–Einstein condensation occurs, though significant amount of bosons will accumulate in the ground state. The gas is ferromagnetic in nature at low temperature. However, Bose–Einstein condensation of vector bosons (scalar bosons as well) is likely to occur in the presence of a uniform weak magnetic field when the gas density is sufficiently high. A transitional density depending on the magnetic field seems to exist below which the vector boson gas changes its property with respect to the Bose–Einstein condensation in a uniform magnetic field.
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39

TORII, Yoshio. "Laser Cooling and Bose-Einstein Condensation. Experimental Techniques for Bose-Einstein Condensation of Rubidium Atoms." Review of Laser Engineering 28, no. 3 (2000): 147–53. http://dx.doi.org/10.2184/lsj.28.147.

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40

Crease, Robert P., and Gino Elia. "When Bose wrote to Einstein." Physics World 37, no. 4 (April 1, 2024): 28–31. http://dx.doi.org/10.1088/2058-7058/37/04/23.

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In 1924 an Indian physicist called Satyendra Nath Bose wrote to Albert Einstein saying he had solved a problem in quantum physics that had stumped the great man. One century on, Robert P Crease and Gino Elia explain how the correspondence led to the notion of Bose–Einstein condensation and why it revealed the power of diverse thinking.
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41

Phat, Tran Huu, Le Viet Hoa, and Dang Thi Minh Hue. "Phase Structure of Bose - Einstein Condensate in Ultra - Cold Bose Gases." Communications in Physics 24, no. 4 (March 13, 2015): 343. http://dx.doi.org/10.15625/0868-3166/24/4/5041.

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The Bose - Einstein condensation of ultra - cold Bose gases is studied by means of the Cornwall - Jackiw - Tomboulis effective potential approach in the improved double - bubble approximation which preserves the Goldstone theorem. The phase structure of Bose - Einstein condensate associating with two different types of phase transition is systematically investigated. Its main feature is that the symmetry which was broken at zero temperature gets restore at higher temperature.
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42

HOMORODEAN, LAUREAN. "MAGNETIC SUSCEPTIBILITY OF THE NONRELATIVISTIC BOSON GAS." Modern Physics Letters B 14, no. 17n18 (August 10, 2000): 645–51. http://dx.doi.org/10.1142/s0217984900000823.

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The magnetic susceptibilities of the degenerate (below the Bose–Einstein condensation temperature) and nondegenerate ideal gases of nonrelativistic charged spinless bosons are presented. In both cases, the boson gas is diamagnetic. The magnetic susceptibility of the degenerate boson gas below the Bose–Einstein condensation temperature increases in modulus as the temperature increases. As expected, the magnetic susceptibility of the nondegenerate boson gas decreases in modulus with increasing temperature according to the Curie law in low magnetic fields.
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43

Yukalov, Vyacheslav I. "Particle Fluctuations in Mesoscopic Bose Systems." Symmetry 11, no. 5 (May 1, 2019): 603. http://dx.doi.org/10.3390/sym11050603.

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Particle fluctuations in mesoscopic Bose systems of arbitrary spatial dimensionality are considered. Both ideal Bose gases and interacting Bose systems are studied in the regions above the Bose–Einstein condensation temperature T c , as well as below this temperature. The strength of particle fluctuations defines whether the system is stable or not. Stability conditions depend on the spatial dimensionality d and on the confining dimension D of the system. The consideration shows that mesoscopic systems, experiencing Bose–Einstein condensation, are stable when: (i) ideal Bose gas is confined in a rectangular box of spatial dimension d > 2 above T c and in a box of d > 4 below T c ; (ii) ideal Bose gas is confined in a power-law trap of a confining dimension D > 2 above T c and of a confining dimension D > 4 below T c ; (iii) the interacting Bose system is confined in a rectangular box of dimension d > 2 above T c , while below T c , particle interactions stabilize the Bose-condensed system, making it stable for d = 3 ; (iv) nonlocal interactions diminish the condensation temperature, as compared with the fluctuations in a system with contact interactions.
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44

SCHELLE, ALEXEJ. "QUANTUM FLUCTUATION DYNAMICS DURING THE TRANSITION OF A MESOSCOPIC BOSONIC GAS INTO A BOSE–EINSTEIN CONDENSATE." Fluctuation and Noise Letters 11, no. 04 (December 2012): 1250027. http://dx.doi.org/10.1142/s0219477512500277.

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The condensate number distribution during the transition of a dilute, weakly interacting gas of N = 200 bosonic atoms into a Bose–Einstein condensate is modeled within number conserving master equation theory of Bose–Einstein condensation. Initial strong quantum fluctuations occuring during the exponential cycle of condensate growth reduce in a subsequent saturation stage, before the Bose gas finally relaxes towards the Gibbs–Boltzmann equilibrium.
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45

WANG, YING, and XIANG-MU KONG. "BOSE–EINSTEIN CONDENSATION OF A q-DEFORMED BOSE GAS IN A RANDOM BOX." Modern Physics Letters B 24, no. 02 (January 20, 2010): 135–41. http://dx.doi.org/10.1142/s0217984910022299.

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The q-deformed Bose–Einstein distribution is used to study the Bose–Einstein condensation (BEC) of a q-deformed Bose gas in random box. It is shown that the BEC transition temperature is lowered due to random boundary conditions. The effects of q-deformation on the properties of the system are also discussed. We find some properties of a q-deformed Bose gas, which are different from those of an ordinary Bose gas. Similar results are also shown for q-bosons confined in a harmonic oscillator potential well.
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46

FIDALEO, FRANCESCO. "HARMONIC ANALYSIS ON CAYLEY TREES II: THE BOSE–EINSTEIN CONDENSATION." Infinite Dimensional Analysis, Quantum Probability and Related Topics 15, no. 04 (December 2012): 1250024. http://dx.doi.org/10.1142/s0219025712500245.

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We investigate the Bose–Einstein Condensation on non-homogeneous non-amenable networks for the model describing arrays of Josephson junctions. The graphs under investigation are obtained by adding density zero perturbations to the homogeneous Cayley Trees. The resulting topological model, whose Hamiltonian is the pure hopping one given by the opposite of the adjacency operator, has also a mathematical interest in itself. The present paper is then the application to the Bose–Einstein Condensation phenomena, of the harmonic analysis aspects, previously investigated in a separate work, for such non-amenable graphs. Concerning the appearance of the Bose–Einstein Condensation, the results are surprisingly in accordance with the previous ones, despite the lack of amenability. The appearance of the hidden spectrum for low energies always implies that the critical density is finite for all the models under consideration. We also show that, even when the critical density is finite, if the adjacency operator of the graph is recurrent, it is impossible to exhibit temperature states which are locally normal (i.e. states for which the local particle density is finite) describing the condensation at all. A similar situation seems to occur in the transient cases for which it is impossible to exhibit locally normal states ω describing the Bose–Einstein Condensation with mean particle density ρ(ω) strictly greater than the critical density ρc. Indeed, it is shown that the transient cases admit locally normal states exhibiting Bose–Einstein Condensation phenomena. In order to construct such locally normal temperature states by infinite volume limits of finite volume Gibbs states, a careful choice of the sequence of the chemical potentials should be done. For all such states, the condensate is essentially allocated on the base point supporting the perturbation. This leads to ρ(ω) = ρc as the perturbation is negligible with respect to the whole network. We prove that all such temperature states are Kubo–Martin–Schwinger states for the natural dynamics associated to the (formal) pure hopping Hamiltonian. The construction of such a dynamics, which is a delicate issue, is also provided in detail.
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47

Gagatsos, C. N., A. I. Karanikas, and G. Kordas. "Mutual Information and Bose-Einstein Condensation." Open Systems & Information Dynamics 20, no. 02 (June 2013): 1350008. http://dx.doi.org/10.1142/s123016121350008x.

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In this work we study an ideal bosonic quantum field system at finite temperature, and in a canonical and a grand canonical ensemble. For a simple spatial partition we derive the corresponding mutual information, a quantity that measures the total amount of information of one of the parts about the other. In order to find it, we first derive the von Neumann entropy that corresponds to the spatially separated subsystem (i.e. the geometric entropy) and then we subtract its extensive part which coincides with the thermal entropy of the subsystem. In the framework of the grand canonical description, we examine the influence of the underlying Bose-Einstein condensation on the behaviour of the mutual information, and we find that its derivative with respect to the temperature possesses a finite discontinuity at exactly the critical temperature.
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48

Staliūnas, K. "Bose-Einstein Condensation in Financial Systems." Nonlinear Analysis: Modelling and Control 10, no. 3 (July 25, 2005): 247–56. http://dx.doi.org/10.15388/na.2005.10.3.15123.

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We describe financial systems as condensates, similar to Bose-Einstein condensates, and calculate equilibrium statistical distributions following from the model. The calculated distribution of investments into speculated financial asset is exponentially truncated Pareto distribution, and the calculated distribution of the price moves is exponentially truncated Levy distribution. The calculated from the model distributions correspond well to the empirically observed distributions.
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49

BUND, S., and A. M. J. SCHAKEL. "STRING PICTURE OF BOSE–EINSTEIN CONDENSATION." Modern Physics Letters B 13, no. 11 (May 10, 1999): 349–62. http://dx.doi.org/10.1142/s0217984999000440.

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A nonrelativistic Bose gas is represented as a grand-canonical ensemble of fluctuating closed spacetime strings of arbitrary shape and length. The loops are characterized by their string tension and the number of times they wind around the imaginary time axis. At the temperature where Bose–Einstein condensation sets in, the string tension, being determined by the chemical potential, vanishes and the strings proliferate. A comparison with Feynman's description in terms of rings of cyclicly permuted bosons shows that the winding number of a loop corresponds to the number of particles contained in a ring.
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50

Grossmann, Siegfried, and Martin Holthaus. "Bose -Einstein Condensation and Condensate Tunneling." Zeitschrift für Naturforschung A 50, no. 4-5 (May 1, 1995): 323–26. http://dx.doi.org/10.1515/zna-1995-4-501.

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Abstract We consider Bose-Einstein condensation in a small cube and describe effects induced by the con­ finement. We also sketch an analogue of the Josephson effect for neutral particles, which can be realized when two almost degenerate states in a double well potential are occupied by a macroscopic number of Bosons. PACS number: 05.30.Jp
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