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Two-component Bose-Einstein condensates are considered within a number conserving version of the Bogoliubov theory. We show that the Bogoliubov vacuum state can be obtained in the particle representation in a simple form. We predict…

Other Condensed Matter · Physics 2009-11-13 Bartlomiej Oles , Krzysztof Sacha

We explored the dynamics of how a Bose-Einstein condensate collapses and subsequently explodes when the balance of forces governing the size and shape of the condensate is suddenly altered. A condensate's equilibrium size and shape is…

We show theoretically the existence of a metastable state and the possibility of decay to the ground state through macroscopic quantum tunneling in two-component Bose-Einstein condensates with repulsive interactions. Numerical analysis of…

Condensed Matter · Physics 2009-11-07 Kenichi Kasamatsu , Yukinori Yasui , Makoto Tsubota

The formation of a dense Bose-Einstein condensate in dark spin states of two-dimensional dipolar excitons is shown to be driven by a dynamical transition to the long-lived dark states. The condensate is stabilized by strong dipole-dipole…

Quantum Gases · Physics 2018-05-09 Yotam Mazuz-Harpaz , Maxim Khodas , Ronen Rapaport

We present a four-mode model that describes coherent photo-association (PA) in a double-well Bose-Einstein condensate, focusing on the $average$ molecular populations in certain parameters. Our numerical results predict an interesting…

Atomic Physics · Physics 2009-11-11 Hui Jing , Sihong Gu , Mingsheng Zhan

We consider a Bose-Einstein condensate, which is confined in a very tight toroidal/annular trap, in the presence of a potential, which breaks the axial symmetry of the Hamiltonian. We investigate the stationary states of the condensate,…

The synchronization of coherent states of light has long been an important subject of basic research and technology. Recently, a new concept for analog computers has emerged where this synchronization process can be exploited to solve…

Quantum Gases · Physics 2021-10-06 Chris Toebes , Mario Vretenar , Jan Klaers

We study the perfect Bose gas in random external potentials and show that there is generalized Bose-Einstein condensation in the random eigenstates if and only if the same occurs in the one-particle kinetic-energy eigenstates, which…

Mathematical Physics · Physics 2015-05-13 Thomas Jaeck , Joseph V. Pulé , Valentin Zagrebnov

The fundamental problem is analized, the relation between Bose-Einstein condensation and spontaneous gauge symmetry breaking. This relation is largerly misunderstood in physics community. Numerous articles and books contain the statement…

Statistical Mechanics · Physics 2015-05-13 V. I. Yukalov

We investigate the dynamics of Bose-Einstein condensate droplets composed of $^{164}$Dy atoms formed in a double-well potential following removal of the interwell barrier. By solving the dipolar Gross-Pitaevskii equation, we determine phase…

Quantum Gases · Physics 2026-04-03 Wojciech Orłowski , Bartłomiej Szafran

We consider a Bose-Einstein condensate driven by periodic delta-kicks. In contrast to first-order descriptions, which predict rapid, unbounded growth of the noncondensate in resonant parameter regimes, the consistent treatment of condensate…

Quantum Gases · Physics 2012-01-24 T. P. Billam , S. A. Gardiner

We investigate the notion of Bose-Einstein condensation of interacting particles. The definition of the condensate is based on the existence of the dominant eigenvalue of the single-particle density matrix. The statistical properties and…

Condensed Matter · Physics 2007-05-23 M. A. Cirone , K. Goral , K. Rzazewski , M. Wilkens

We study the quantum dynamics of a binary mixture of Bose-Einstein condensates (BEC) in a double-well potential starting from a two-mode Bose-Hubbard Hamiltonian. Focussing on the regime where the number of atoms is very large, a mapping…

Quantum Gases · Physics 2015-05-28 Roberta Citro , Adele Naddeo , Edmond Orignac

We present a self-consistent study of coherently coupled two-component Bose-Einstein condensates. Finite spin-flipping coupling changes the first order demixing phase transition for Bose-Bose mixtures to a second order phase transition…

Quantum Gases · Physics 2013-07-29 M. Abad , A. Recati

We study the decay of bosonic many-body states in the three well Bose-Hubbard chain where bosons in the central well can escape into a reservoir. For vanishing inter-particle interaction this system supports a non-decaying many-body state…

Quantum Gases · Physics 2021-01-28 A. A. Bychek , D. N. Maksimov , A. R. Kolovsky

We study the system of coupled atomic and molecular condensates within the two-mode model and beyond mean-field theory (MFT). Large amplitude atom-molecule coherent oscillations are shown to be damped by the rapid growth of fluctuations…

Condensed Matter · Physics 2009-11-07 A. Vardi , V. A. Yurovsky , J. R. Anglin

We develop a dissipative quantum state preparation scheme for the creation of phase- and number-squeezed states. It utilizes ultracold atoms in a double-well configuration immersed in a background Bose-Einstein condensate, with the latter…

We have begun a series of experiments on mixed bosonic quantum fluids. Our system is mixed Bose-Einstein condensates in dilute Rb-87. By simultaneously trapping the atoms in two different hyperfine states, we are able to study the dynamics…

Condensed Matter · Physics 2007-05-23 E. A. Cornell , D. S. Hall , M. R. Matthews , C. E. Wieman

The Bose condensation of 2D dipolar excitons in quantum wells is numerically studied by the diffusion Monte Carlo simulation method. The correlation, microscopic, thermodynamic, and spectral characteristics are calculated. It is shown that,…

Strongly Correlated Electrons · Physics 2009-11-13 Yu. E. Lozovik , I. L. Kurbakov , G. E. Astrakharchik , M. Willander

We provide a scheme for the generation of entangled number states of Bose-Einstein condensates in multiple wells with cyclic pairwise connectivity. The condensate ground state in a multiple well trap can self-evolve, when phase engineered…

Quantum Gases · Physics 2012-09-24 Mary Ann Leung , Khan W. Mahmud , William P. Reinhardt