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The thermodynamic approach to density functional theory (DFT) is used to derive a versatile theoretical framework for the treatment of finite-temperature (and in the limit, zero temperature) Bose-Einstein condensates (BECs). The simplest…

Quantum Gases · Physics 2015-05-20 Nathan Argaman , Y. B. Band

We derive a theoretical model which describes Bose-Einstein condensation in an open driven-dissipative system. It includes external pumping of a thermal reservoir, finite life time of the condensed particles and energy relaxation. The…

Quantum Gases · Physics 2015-06-17 D. D. Solnyshkov , H. Terças , K. Dini , G. Malpuech

Starting from the Dyson-Beliaev and generalized Gross-Pitaevskii equations with an extra nonlocal potential, we derive an exact expression of the two-particle Green's function K for an interacting Bose-Einstein condensate in terms of…

Quantum Gases · Physics 2014-11-21 Takafumi Kita

Shell-shaped Bose-Einstein condensates (BECs) represent a paradigmatic instance of quantum fluids in hollow geometries exhibiting phenomena that bridge from ultracold atomic to astrophysical realms. In this work, we present a comprehensive…

We study a superfluid Bose system with single-particle and pair condensates on the basis of a half-phenomenological theory of a Bose liquid not involving the weakness of interparticle interaction. The coupled equations describing the…

Statistical Mechanics · Physics 2013-03-25 A. S. Peletminskii , S. V. Peletminskii , Yu. M. Poluektov

Recently the authors used the Kadanoff-Baym non-equilibrium Green's function formalism to derive kinetic equation for the non-condensate atoms, in conjunction with a consistent generalization of the Gross-Pitaevskii equation for the Bose…

Condensed Matter · Physics 2016-08-31 M. Imamovic-Tomasovic , A. Griffin

A mixture of two kinds of identical bosons held in a harmonic potential and interacting by harmonic particle-particle interactions is discussed. This is an exactly-solvable model of a mixture of two trapped Bose-Einstein condensates which…

Quantum Gases · Physics 2017-02-14 Shachar Klaiman , Alexej I. Streltsov , Ofir E. Alon

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

By recognizing the vital importance of two-hole Cooper pairs (CPs) in addition to the usual two-electron ones in a strongly-interacting many-electron system, the concept of CPs was re-examined with striking conclusions. Based on this,…

Superconductivity · Physics 2009-11-11 M. de Llano , M. Grether

We study Bose-Einstein condensation (BEC) in one-dimensional noninteracting Bose gases in Poisson random potentials on $\mathbb R$ with single-site potentials that are nonnegative, compactly supported, and bounded measurable functions in…

Mathematical Physics · Physics 2021-01-01 Maximilian Pechmann

We investigate single-particle properties of a mass-imbalanced Fermi gas in the BCS (Bardeen-Cooper-Schrieffer)-BEC (Bose-Einstein condensation) crossover region. In the presence of mass imbalance, we point out that the ordinary $T$-matrix…

Quantum Gases · Physics 2013-11-20 Ryo Hanai , Takashi Kashimura , Ryota Watanabe , Daisuke Inotani , Yoji Ohashi

The problem of understanding how a coherent, macroscopic Bose-Einstein condensate (BEC) emerges from the cooling of a thermal Bose gas has attracted significant theoretical and experimental interest over several decades. The pioneering…

We investigate the zero-temperature properties of an impurity particle interacting with a Bose-Einstein condensate (BEC), using a variational wavefunction that includes up to two Bogoliubov excitations of the BEC. This allows one to capture…

Quantum Gases · Physics 2015-10-21 Jesper Levinsen , Meera M. Parish , Georg M. Bruun

Many-body Green's functions theory within the GW approximation and the Bethe-Salpeter Equation (BSE) is implemented in the open-source VOTCA-XTP software, aiming at the calculation of electronically excited states in complex molecular…

Building on recent advances in reduced density matrix theory, we develop a geometric framework for describing strongly correlated lattice bosons. We first establish that translational symmetry, together with a fixed pair interaction,…

Quantum Physics · Physics 2026-01-06 Chih-Chun Wang , Christian Schilling

We theoretically investigate a Bose-condensed exciton gas out of equilibrium. Within the framework of the combined BCS-Leggett strong-coupling theory with the non-equilibrium Keldysh formalism, we show how the Bose-Einstein condensation…

Strongly Correlated Electrons · Physics 2016-03-29 Ryo Hanai , Peter B. Littlewood , Yoji Ohashi

A theoretical model is developed for treating super conductive Bose-Einstein condensation (BEC) effects for excitons in planar systems, under the condition that many excitons are included in a surface area, with the dimensions of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Y. Ben-Aryeh

We propose generating long-range and nonreciprocal three-body interactions in quantum gases via optical feedback. By placing a quasi-two-dimensional Bose-Einstein condensate (BEC) in front of two reflecting mirrors and illuminating it with…

Quantum Gases · Physics 2025-05-28 Yi-Qing Zhang , Liang-Jun He , Han Pu , Zheng-Wei Zhou , Yong-Chang Zhang

Superfluid and dissipative regimes in the dynamics of a two-component quasi-one-dimensional Bose-Einstein condensate (BEC) with unequal atom numbers in the components have been explored. The system supports localized waves of the symbiotic…

Quantum Gases · Physics 2024-07-03 S. M. Al-Marzoug , B. B. Baizakov , U. Al Khawaja , H. Bahlouli

We study the energies and decay of elementary excitations in weakly interacting Bose-Einstein condensates within a finite-temperature gapless second-order theory. The energy shifts for the high-lying collective modes turn out to be…

Statistical Mechanics · Physics 2009-11-11 M. Mottonen , S. M. M. Virtanen , M. M. Salomaa