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Journal articles on the topic 'Bose-Einstein condensates'

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Published: 4 June 2021

Last updated: 11 March 2023

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1

SHI, YU. "ENTANGLEMENT BETWEEN BOSE–EINSTEIN CONDENSATES." International Journal of Modern Physics B 15, no. 22 (September 10, 2001): 3007–30. http://dx.doi.org/10.1142/s0217979201007154.

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For a Bose condensate in a double-well potential or with two Josephson-coupled internal states, the condensate wavefunction is a superposition. Here we consider coupling two such Bose condensates, and suggest the existence of a joint condensate wavefunction, which is in general a superposition of all products of the bases condensate wavefunctions of the two condensates. The corresponding many-body state is a product of such superposed wavefunctions, with appropriate symmetrization. These states may be potentially useful for quantum computation. There may be robustness and stability due to macroscopic occupation of a same single particle state. The nonlinearity of the condensate wavefunction due to particle–particle interaction may be utilized to realize nonlinear quantum computation, which was suggested to be capable of solving NP-complete problems.

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2

TSURUMI, TAKEYA, HIROFUMI MORISE, and MIKI WADATI. "STABILITY OF BOSE–EINSTEIN CONDENSATES CONFINED IN TRAPS." International Journal of Modern Physics B 14, no. 07 (March 20, 2000): 655–719. http://dx.doi.org/10.1142/s0217979200000595.

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Bose–Einstein condensation has been realized as dilute atomic vapors. This achievement has generated immense interest in this field. This article review of recent theoretical research into the properties of trapped dilute-gas Bose–Einstein condensates. Among these properties, stability of Bose–Einstein condensates confined in traps is mainly discussed. Static properties of the ground state are investigated by using the variational method. The analysis is extended to the stability of two-component condensates. Time-development of the condensate is well-described by the Gross–Pitaevskii equation which is known in nonlinear physics as the no nlinear Schrödinger equation. For the case that the inter-atomic potential is effectively attractive, a singularity of the solution emerges in a finite time. This phenomenon which we call collapse explains the upper bound for the number of atoms in such condensates under traps.

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3

Kadomtsev, Boris B., and Mikhail B. Kadomtsev. "Bose-Einstein condensates." Uspekhi Fizicheskih Nauk 167, no. 6 (1997): 649. http://dx.doi.org/10.3367/ufnr.0167.199706d.0649.

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4

Kadomtsev, Boris B., and Mikhail B. Kadomtsev. "Bose–Einstein condensates." Physics-Uspekhi 40, no. 6 (June 30, 1997): 623–37. http://dx.doi.org/10.1070/pu1997v040n06abeh000247.

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5

Pereira, Lucas Carvalho, and Valter Aragão do Nascimento. "Dynamics of Bose–Einstein Condensates Subject to the Pöschl–Teller Potential through Numerical and Variational Solutions of the Gross–Pitaevskii Equation." Materials 13, no. 10 (May 13, 2020): 2236. http://dx.doi.org/10.3390/ma13102236.

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We present for the first time an approach about Bose–Einstein condensates made up of atoms with attractive interatomic interactions confined to the Pöschl–Teller hyperbolic potential. In this paper, we consider a Bose–Einstein condensate confined in a cigar-shaped, and it was modeled by the mean field equation known as the Gross–Pitaevskii equation. An analytical (variational method) and numerical (two-step Crank–Nicolson) approach is proposed to study the proposed model of interatomic interaction. The solutions of the one-dimensional Gross–Pitaevskii equation obtained in this paper confirmed, from a theoretical point of view, the possibility of the Pöschl–Teller potential to confine Bose–Einstein condensates. The chemical potential as a function of the depth of the Pöschl–Teller potential showed a behavior very similar to the cases of Bose–Einstein condensates and superfluid Fermi gases in optical lattices and optical superlattices. The results presented in this paper can open the way for several applications in atomic and molecular physics, solid state physics, condensed matter physics, and material sciences.

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6

Viet Hoa, Le, Nguyen Tuan Anh, Nguyen Chinh Cuong, and Dang Thi Minh Hue. "HYDRODYNAMIC INSTABILITIES OF TWO-COMPONENT BOSE-EINSTEIN CONDENSATES." Journal of Science, Natural Science 60, no. 7 (2015): 121–28. http://dx.doi.org/10.18173/2354-1059.2015-0041.

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7

Wilson, Andrew C., and Callum R. McKenzie. "Experimental Aspects of Bose-Einstein Condensation." Modern Physics Letters B 14, supp01 (September 2000): 281–303. http://dx.doi.org/10.1142/s0217984900001579.

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An introductory level review of experimental techniques essential for producing and probing Bose condensates formed with dilute alkali vapours is presented. This discussion includes a summary of evaporative cooling techniques, condensate imaging schemes, and a review of current BEC technology.

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8

Yang, Yajie, and Ying Dong. "Dynamics of matter-wave solitons in three-component Bose-Einstein condensates with time-modulated interactions and gain or loss effect." Physica Scripta 97, no. 2 (January 13, 2022): 025201. http://dx.doi.org/10.1088/1402-4896/ac47b9.

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Abstract The gain or loss effect on the dynamics of the matter-wave solitons in three-component Bose–Einstein condensates with time-modulated interactions trapped in parabolic external potentials are investigated analytically. Some exact matter-wave soliton solutions to the three-coupled Gross–Pitaevskii equation describing the three-component Bose–Einstein condensates are constructed by similarity transformation. The dynamical properties of the matter-wave solitons are analyzed graphically, and the effects of the gain or loss parameter and the frequency of the external potentials on the matter-wave solitons are explored. It is shown that the gain coefficient makes the atom condensate to absorb energy from the background, while the loss coefficient brings about the collapse of the condensate.

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9

Ketcham, P. M., and D. L. Feder. "Visualizing Bose-Einstein condensates." Computing in Science & Engineering 5, no. 1 (January 2003): 86–89. http://dx.doi.org/10.1109/mcise.2003.1166557.

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10

Castellanos, E., and G. Chacón-Acosta. "Polymer Bose–Einstein condensates." Physics Letters B 722, no. 1-3 (May 2013): 119–22. http://dx.doi.org/10.1016/j.physletb.2013.04.009.

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11

Mottelson, B. "Rotating Bose–Einstein condensates." Nuclear Physics A 690, no. 1-3 (July 2001): 201–8. http://dx.doi.org/10.1016/s0375-9474(01)00943-5.

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12

Kawaguchi, Yuki, and Masahito Ueda. "Spinor Bose–Einstein condensates." Physics Reports 520, no. 5 (November 2012): 253–381. http://dx.doi.org/10.1016/j.physrep.2012.07.005.

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13

Chevy, F., and J. Dalibard. "Rotating Bose-Einstein condensates." Europhysics News 37, no. 1 (January 2006): 12–16. http://dx.doi.org/10.1051/epn:2006101.

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14

Öztürk, Fahri Emre, Tim Lappe, Göran Hellmann, Julian Schmitt, Jan Klaers, Frank Vewinger, Johann Kroha, and Martin Weitz. "Observation of a non-Hermitian phase transition in an optical quantum gas." Science 372, no. 6537 (April 1, 2021): 88–91. http://dx.doi.org/10.1126/science.abe9869.

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Quantum gases of light, such as photon or polariton condensates in optical microcavities, are collective quantum systems enabling a tailoring of dissipation from, for example, cavity loss. This characteristic makes them a tool to study dissipative phases, an emerging subject in quantum many-body physics. We experimentally demonstrate a non-Hermitian phase transition of a photon Bose-Einstein condensate to a dissipative phase characterized by a biexponential decay of the condensate’s second-order coherence. The phase transition occurs because of the emergence of an exceptional point in the quantum gas. Although Bose-Einstein condensation is usually connected to lasing by a smooth crossover, the observed phase transition separates the biexponential phase from both lasing and an intermediate, oscillatory condensate regime. Our approach can be used to study a wide class of dissipative quantum phases in topological or lattice systems.

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15

Viet Hoa, Le, Nguyen Tuan Anh, Le Huy Son, and Nguyen Van Hop. "THE INTERFACE PROPERTIES OF TWO-COMPONENT BOSE-EINSTEIN CONDENSATES." Journal of Science, Natural Science 60, no. 7 (2015): 88–93. http://dx.doi.org/10.18173/2354-1059.2015-0037.

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16

LUO, WEI, ZHONGXUE LÜ, and ZUHAN LIU. "ON THE GROUND STATE OF SPIN-1 BOSE–EINSTEIN CONDENSATES WITH AN EXTERNAL IOFFE–PITCHARD MAGNETIC FIELD." Bulletin of the Australian Mathematical Society 86, no. 3 (May 28, 2012): 356–69. http://dx.doi.org/10.1017/s0004972712000305.

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AbstractIn this paper, we prove the existence of the ground state for the spinor Bose–Einstein condensates with an external Ioffe–Pitchard magnetic field in the one-dimensional case. We also characterise the ground states of spin-1 Bose–Einstein condensates with an external Ioffe–Pitchard magnetic field; that is, for ferromagnetic systems, we show that, under some condition, searching for the ground state of ferromagnetic spin-1 Bose–Einstein condensates with an external Ioffe–Pitchard magnetic field can be reduced to a ‘one-component’ minimisation problem.

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17

KASAMATSU, KENICHI, MAKOTO TSUBOTA, and MASAHITO UEDA. "VORTICES IN MULTICOMPONENT BOSE–EINSTEIN CONDENSATES." International Journal of Modern Physics B 19, no. 11 (April 30, 2005): 1835–904. http://dx.doi.org/10.1142/s0217979205029602.

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We review the topic of quantized vortices in multicomponent Bose–Einstein condensates of dilute atomic gases, with an emphasis on the two-component condensates. First, we review the fundamental structure, stability and dynamics of a single vortex state in a slowly rotating two-component condensates. To understand recent experimental results, we use the coupled Gross–Pitaevskii equations and the generalized nonlinear sigma model. An axisymmetric vortex state, which was observed by the JILA group, can be regarded as a topologically trivial skyrmion in the pseudospin representation. The internal, coherent coupling between the two components breaks the axisymmetry of the vortex state, resulting in a stable vortex molecule (a meron pair). We also mention unconventional vortex states and monopole excitations in a spin-1 Bose–Einstein condensate. Next, we discuss a rich variety of vortex states realized in rapidly rotating two-component Bose–Einstein condensates. We introduce a phase diagram with axes of rotation frequency and the intercomponent coupling strength. This phase diagram reveals unconventional vortex states such as a square lattice, a double-core lattice, vortex stripes and vortex sheets, all of which are in an experimentally accessible parameter regime. The coherent coupling leads to an effective attractive interaction between two components, providing not only a promising candidate to tune the intercomponent interaction to study the rich vortex phases but also a new regime to explore vortex states consisting of vortex molecules characterized by anisotropic vorticity. A recent experiment by the JILA group vindicated the formation of a square vortex lattice in this system.

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18

Cheng, Ze. "Exact breather solutions of repulsive Bose atoms in a one-dimensional harmonic trap." International Journal of Modern Physics C 29, no. 10 (October 2018): 1850100. http://dx.doi.org/10.1142/s0129183118501000.

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Bose–Einstein condensates of repulsive Bose atoms in a one-dimensional harmonic trap are investigated within the framework of a mean field theory. We solve the one-dimensional nonlinear Gross–Pitaevskii (GP) equation that describes atomic Bose–Einstein condensates. As a result, we acquire a family of exact breather solutions of the GP equation. We numerically calculate the number density [Formula: see text] of atoms that is associated with these solutions. The first discovery of the calculation is that at the instant of the saddle point, the density profile exhibits a sharp peak with extremely narrow width. The second discovery of the calculation is that in the center of the trap ([Formula: see text] m), the number density is a U-shaped function of the time [Formula: see text]. The third discovery of the calculation is that the surface plot of the density [Formula: see text] likes a saddle surface. The fourth discovery of the calculation is that as the number [Formula: see text] of atoms increases, the Bose–Einstein condensate in a one-dimensional harmonic trap becomes stabler and stabler.

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19

STAMPER-KURN, D. M., A. P. CHIKKATUR, A. GÖRLITZ, S. GUPTA, S. INOUYE, J. STENGER, D. E. PRITCHARD, and W. KETTERLE. "PROBING BOSE-EINSTEIN CONDENSATES WITH OPTICAL BRAGG SCATTERING." International Journal of Modern Physics B 15, no. 10n11 (May 10, 2001): 1621–40. http://dx.doi.org/10.1142/s0217979201006136.

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Gaseous Bose-Einstein condensates are a macroscopic condensed-matter system which can be understood from a microscopic, atomic basis. We present examples of how the optical tools of atomic physics can be used to probe properties of this system. In particular, we describe how stimulated light scattering can be used to measure the coherence length of a condensate, to measure its excitation spectrum, and to reveal the presence of pair excitations in the many-body condensate wavefunction.

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20

CIAMPINI, DONATELLA, OLIVER MORSCH, and ENNIO ARIMONDO. "SIGNATURES OF DYNAMICAL INSTABILITY OF BOSE–EINSTEIN CONDENSATES IN 1D OPTICAL LATTICES." Fluctuation and Noise Letters 12, no. 02 (June 2013): 1340006. http://dx.doi.org/10.1142/s0219477513400063.

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The onset of dynamical instabilities of Bose–Einstein condensates in optical lattices due to the dephasing of the condensate wavefunction is observed through the decay of the visibility of the interference pattern in time-of-flight and the growth of the radial width of the condensate.

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21

PÉREZ ROJAS, H., A. PÉREZ MARTÍNEZ, and HERMAN J. MOSQUERA CUESTA. "COLLAPSING NEUTRON STARS DRIVEN BY CRITICAL MAGNETIC FIELDS AND EXPLODING BOSE–EINSTEIN CONDENSATES." International Journal of Modern Physics D 14, no. 11 (November 2005): 1855–60. http://dx.doi.org/10.1142/s0218271805007516.

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A Bose–Einstein condensate of a neutral vector boson bearing an anomalous magnetic moment is suggested as a model for ferromagnetic origin of magnetic fields in neutron stars. The vector particles are assumed to arise from parallel spin-paired neutrons. A negative pressure perpendicular to the external field B is acting on this condensate, which for large densities, compress the system, and may produce a collapse. An upper bound of the magnetic fields observable in neutron stars is given. In the the non-relativistic limit, the analogy with the behavior of exploding Bose–Einstein condensates (BECs) for critical values of the magnetic field is briefly discussed.

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22

Castellanos, Elías. "Homogeneous one-dimensional Bose–Einstein condensate in the Bogoliubov’s regime." Modern Physics Letters B 30, no. 22 (August 20, 2016): 1650307. http://dx.doi.org/10.1142/s0217984916503073.

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We analyze the corrections caused by finite size effects upon the ground state properties of a homogeneous one-dimensional (1D) Bose–Einstein condensate. We assume from the very beginning that the Bogoliubov’s formalism is valid and consequently, we show that in order to obtain a well-defined ground state properties, finite size effects of the system must be taken into account. Indeed, the formalism described in the present paper allows to recover the usual properties related to the ground state of a homogeneous 1D Bose–Einstein condensate but corrected by finite size effects of the system. Finally, this scenario allows us to analyze the sensitivity of the system when the Bogoliubov’s regime is valid and when finite size effects are present. These facts open the possibility to apply these ideas to more realistic scenarios, e.g. low-dimensional trapped Bose–Einstein condensates.

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23

Band, Y. B. "Interference of Bose−Einstein Condensates†." Journal of Physical Chemistry B 112, no. 50 (December 18, 2008): 16097–103. http://dx.doi.org/10.1021/jp8058195.

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24

Fetter, A. L. "Rotating trapped Bose-Einstein condensates." Laser Physics 18, no. 1 (January 2008): 1–11. http://dx.doi.org/10.1134/s1054660x08010015.

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25

Graham, Robert. "Dephasing of Bose-Einstein condensates." Journal of Modern Optics 47, no. 14-15 (November 2000): 2615–27. http://dx.doi.org/10.1080/09500340008232185.

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26

Fetter, Alexander L. "Rotating trapped Bose-Einstein condensates." Reviews of Modern Physics 81, no. 2 (May 18, 2009): 647–91. http://dx.doi.org/10.1103/revmodphys.81.647.

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27

Porter, Mason A., and P. G. Kevrekidis. "Bose-Einstein Condensates in Superlattices." SIAM Journal on Applied Dynamical Systems 4, no. 4 (January 2005): 783–807. http://dx.doi.org/10.1137/040610611.

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28

Deveaud, Benoît. "Exciton-Polariton Bose-Einstein Condensates." Annual Review of Condensed Matter Physics 6, no. 1 (March 2015): 155–75. http://dx.doi.org/10.1146/annurev-conmatphys-031214-014542.

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29

Larson, J. "Diode for Bose-Einstein condensates." EPL (Europhysics Letters) 96, no. 5 (November 17, 2011): 50004. http://dx.doi.org/10.1209/0295-5075/96/50004.

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30

Blakie, P. B., E. Toth, and M. J. Davis. "Calorimetry of Bose–Einstein condensates." Journal of Physics B: Atomic, Molecular and Optical Physics 40, no. 16 (August 6, 2007): 3273–82. http://dx.doi.org/10.1088/0953-4075/40/16/008.

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31

Liu, Zuhan. "Rotating multicomponent Bose–Einstein condensates." Nonlinear Differential Equations and Applications NoDEA 19, no. 1 (May 27, 2011): 49–65. http://dx.doi.org/10.1007/s00030-011-0117-2.

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32

BALAKRISHNAN, RADHA, and INDUBALA I. SATIJA. "Solitons in Bose–Einstein condensates." Pramana 77, no. 5 (October 29, 2011): 929–47. http://dx.doi.org/10.1007/s12043-011-0187-z.

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33

Liu, Zuhan. "Two-component Bose–Einstein condensates." Journal of Mathematical Analysis and Applications 348, no. 1 (December 2008): 274–85. http://dx.doi.org/10.1016/j.jmaa.2008.07.033.

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34

Baym, Gordon. "Rapidly Rotating Bose-Einstein Condensates." Journal of Low Temperature Physics 138, no. 3-4 (February 2005): 601–10. http://dx.doi.org/10.1007/s10909-005-2268-1.

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35

Marshall, I. N. "Consciousness and Bose-Einstein condensates." New Ideas in Psychology 7, no. 1 (January 1989): 73–83. http://dx.doi.org/10.1016/0732-118x(89)90038-x.

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36

Vogel, A., M. Schmidt, K. Sengstock, K. Bongs, W. Lewoczko, T. Schuldt, A. Peters, et al. "Bose–Einstein condensates in microgravity." Applied Physics B 84, no. 4 (July 20, 2006): 663–71. http://dx.doi.org/10.1007/s00340-006-2359-y.

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37

Gawlik, Wojciech. "Bose-Einstein Condensates in Europe." Europhysics News 30, no. 2 (1999): 56–57. http://dx.doi.org/10.1007/s00770-999-0056-1.

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38

Al-Jibbouri, H. "Dynamics of Bose-Einstein condensates under anharmonic trap." Condensed Matter Physics 25, no. 2 (2022): 23301. http://dx.doi.org/10.5488/cmp.25.23301.

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The dynamics of weakly interacting three-dimensional Bose-Einstein condensates (BECs), trapped in external axially symmetric plus anharmonic distortion potential are studied. Within a variational approach and time-dependent Gross-Pitaevskii equation, the coupled condensate width equations are derived. By modulating anharmonic distortion of the trapping potential, nonlinear features are studied numerically and illustrated analytically, such as mode coupling of oscillation modes, and resonances. Furthermore, the stability of attractive interaction BEC in both repulsive and attractive anharmonic distortion is examined. We demonstrate that a small repulsive and attractive anharmonic distortion is effective in reducing (extending) the condensate stability region since it decreases (increases) the critical number of atoms in the trapping potential.

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39

Zloshchastiev, Konstantin G. "Stability and Metastability of Trapless Bose-Einstein Condensates and Quantum Liquids." Zeitschrift für Naturforschung A 72, no. 7 (July 26, 2017): 677–87. http://dx.doi.org/10.1515/zna-2017-0134.

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AbstractVarious kinds of Bose-Einstein condensates are considered, which evolve without any geometric constraints or external trap potentials including gravitational. For studies of their collective oscillations and stability, including the metastability and macroscopic tunneling phenomena, both the variational approach and the Vakhitov-Kolokolov (VK) criterion are employed; calculations are done for condensates of an arbitrary spatial dimension. It is determined that that the trapless condensate described by the logarithmic wave equation is essentially stable, regardless of its dimensionality, while the trapless condensates described by wave equations of a polynomial type with respect to the wavefunction, such as the Gross-Pitaevskii (cubic), cubic-quintic, and so on, are at best metastable. This means that trapless “polynomial” condensates are unstable against spontaneous delocalization caused by fluctuations of their width, density and energy, leading to a finite lifetime.

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40

Kalashnikov, V. L., and S. Wabnitz. "Stabilization of spatiotemporal dissipative solitons in multimode fiber lasers by external phase modulation." Laser Physics Letters 19, no. 10 (August 11, 2022): 105101. http://dx.doi.org/10.1088/1612-202x/ac8678.

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Abstract In this work, we introduce a method for the stabilization of spatiotemporal (ST) solitons. These solitons correspond to light bullets in multimode optical fiber lasers, energy-scalable waveguide oscillators and amplifiers, localized coherent patterns in Bose–Einstein condensates, etc. We show that a three-dimensional confinement potential, formed by a spatial transverse (radial) parabolic graded refractive index and dissipation profile, in combination with quadratic temporal phase modulation, may permit the generation of stable ST dissipative solitons. This corresponds to combining phase mode-locking with the distributed Kerr-lens mode-locking. Our study of the soliton characteristics and stability is based on analytical and numerical solutions of the generalized dissipative Gross–Pitaevskii equation. This approach could lead to higher energy (or condensate mass) harvesting in coherent spatio-temporal beam structures formed in multimode fiber lasers, waveguide oscillators, and weakly-dissipative Bose–Einstein condensates.

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41

CHEN, ZENG-BING. "ATOM-OPTICAL BISTABILITY IN TRAPPED BOSE–EINSTEIN CONDENSATES." Modern Physics Letters B 14, no. 01 (January 10, 2000): 31–37. http://dx.doi.org/10.1142/s0217984900000069.

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The close similarities between nonlinear optics and nonlinear atom optics motivate us to demonstrate the possibility of atom-optical bistability for a trapped Bose–Einstein condensate. Driven by an intense, coherent input matter wave, the trapped Bose–Einstein condensate might display the bistability when the Born–Markov master equation for the condensate mode is used. The atom-optical bistability provides a way to control atom lasers with atom lasers.

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42

ZHANG, SUN, and FAN WANG. "INTERFERENCE EFFECT OF THREE BOSE–EINSTEIN CONDENSATES." Modern Physics Letters B 16, no. 14 (June 20, 2002): 519–24. http://dx.doi.org/10.1142/s0217984902004056.

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The macroscopic interference of three Bose–Einstein condensates (BEC) is studied in this paper. The interference pattern between three condensates is given as a further demonstration of the existence of the global phase and the braking of U(1) gauge symmetry. Moreover, the difference between two and three condensates is also pointed out for further experiments.

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43

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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44

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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45

BENSEGHIR, A., W. A. T. WAN ABDULLAH, B. A. UMAROV, and B. B. BAIZAKOV. "PARAMETRIC EXCITATION OF SOLITONS IN DIPOLAR BOSE–EINSTEIN CONDENSATES." Modern Physics Letters B 27, no. 25 (September 23, 2013): 1350184. http://dx.doi.org/10.1142/s0217984913501844.

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In this paper, we study the response of a Bose–Einstein condensate with strong dipole–dipole atomic interactions to periodically varying perturbation. The dynamics is governed by the Gross–Pitaevskii equation with additional nonlinear term, corresponding to a nonlocal dipolar interactions. The mathematical model, based on the variational approximation, has been developed and applied to parametric excitation of the condensate due to periodically varying coefficient of nonlocal nonlinearity. The model predicts the waveform of solitons in dipolar condensates and describes their small amplitude dynamics quite accurately. Theoretical predictions are verified by numerical simulations of the nonlocal Gross–Pitaevskii equation and good agreement between them is found. The results can lead to better understanding of the properties of ultra-cold quantum gases, such as 52 Cr , 164 Dy and 168 Er , where the long-range dipolar atomic interactions dominate the usual contact interactions.

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46

Fang Yong-Cui and Yang Zhi-An. "Chaos tunneling of Bose-Einstein condensates." Acta Physica Sinica 57, no. 12 (2008): 7438. http://dx.doi.org/10.7498/aps.57.7438.

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47

Kita, Takafumi. "Effective Action for Bose–Einstein Condensates." Journal of the Physical Society of Japan 83, no. 6 (June 15, 2014): 064005. http://dx.doi.org/10.7566/jpsj.83.064005.

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48

Torrontegui, E., Xi Chen, M. Modugno, S. Schmidt, A. Ruschhaupt, and J. G. Muga. "Fast transport of Bose–Einstein condensates." New Journal of Physics 14, no. 1 (January 18, 2012): 013031. http://dx.doi.org/10.1088/1367-2630/14/1/013031.

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Mendonça, J. T., and A. Gammal. "Twisted phonons in Bose–Einstein condensates." Journal of Physics B: Atomic, Molecular and Optical Physics 47, no. 6 (February 26, 2014): 065301. http://dx.doi.org/10.1088/0953-4075/47/6/065301.

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FISCHER, UWE R. "QUASIPARTICLE UNIVERSES IN BOSE–EINSTEIN CONDENSATES." Modern Physics Letters A 19, no. 24 (August 10, 2004): 1789–812. http://dx.doi.org/10.1142/s0217732304015099.

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Abstract:

Recent developments in simulating fundamental quantum field theoretical effects in the kinematical context of analogue gravity are reviewed. Specifically, it is argued that a curved spacetime generalization of the Unruh–Davies effect — the Gibbons–Hawking effect in the de Sitter spacetime of inflationary cosmological models — can be implemented and verified in an ultracold gas of bosonic atoms.

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