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We show the emergence of a strongly interacting Bose-Fermi mixture from a two-component Fermi mixture with population imbalance. By analyzing in situ density profiles of $^6$Li atoms in the BCS-BEC crossover regime we identify a critical…

Statistical Mechanics · Physics 2009-11-13 Yong-il Shin , André Schirotzek , Christian H. Schunck , Wolfgang Ketterle

We present a stability analysis on a driven-dissipative electron-hole condensate in the BCS (Bardeen-Cooper-Schrieffer)-BEC (Bose-Einstein-condensation)-crossover region. Extending the combined BCS-Leggett theory with the generalized random…

Strongly Correlated Electrons · Physics 2017-10-02 Ryo Hanai , Peter B. Littlewood , Yoji Ohashi

Based on the quantum two-body problem introduced in [arXiv:1604.06693] we consider bound pairs of electrons moving on the positive half-line. The analysis is motivated by the ground-breaking work of Cooper who identified the pairing of…

Mathematical Physics · Physics 2019-03-13 Joachim Kerner

The stable Bardeen-Schrieffer-Cooper (BCS) pairing state of a bosonic system has long been sought theoretically and experimentally. Here we study the BCS state of a binary Bose gas with $s$-wave intra-species repulsions and an inter-species…

Quantum Gases · Physics 2024-09-17 Zesheng Shen , Lan Yin

We consider two issues related to the condensation energy in superconductors described by the Eliashberg theory for various forms of the pairing interaction, associated either with phonon or electronic mechanisms of superconductivity.…

Superconductivity · Physics 2016-08-31 Evelina Tsoncheva , Andrey V. Chubukov

We consider the problem when there are two kinds of Bosons with an attraction between them. We find the system to consist of two Bose condensates with an additional pairing order between the Bosons. The properties of this state are…

Quantum Gases · Physics 2016-04-21 S. T. Chui

We investigate the effect of pair creation on a shock structure. Actually, particles accelerated by a shock can be sufficiently energetic to boost, via Inverse Compton (IC) process for example, surrounding soft photons above the rest mass…

Astrophysics · Physics 2009-11-06 P. O. Petrucci , G. Henri , G. Pelletier

This review explores the dynamics and the low-energy excitation spectra of Bose-Einstein condensates (BECs) of interacting bosons in external potential traps putting particular emphasis on the emerging many-body effects beyond mean-field…

Quantum Gases · Physics 2021-01-29 Ofir E. Alon , Raphael Beinke , Lorenz S. Cederbaum

The ground state of bosonic atoms in a trap has been shown experimentally to display Bose-Einstein condensation (BEC). We prove this fact theoretically for bosons with two-body repulsive interaction potentials in the dilute limit, starting…

Mathematical Physics · Physics 2009-11-07 Elliott H. Lieb , Robert Seiringer

A Bose-Einstein condensate (BEC) of rubidium atoms is prepared in one of two degenerate energy minima in the second Bloch band of an optical square lattice. A subsequent oscillation of the BEC between the two energy minima is observed,…

Quantum Gases · Physics 2021-05-26 J. Vargas , M. Nuske , R. Eichberger , C. Hippler , L. Mathey , A. Hemmerich

In this article, we study an exponential decay for the gas of bosons with strong repulsive delta interactions from a double-well potential. We consider an exactly solvable model comprising an infinite wall and two Dirac delta barriers. We…

Quantum Gases · Physics 2023-03-01 Przemysław Kościk

We describe pair-correlation inherent in the structure of many-particle ground state of quantum gases, namely, Bose Einstein condensate and Cooper-paired Fermi superfluid of atomic gases. We make a comparative study on the pair-correlation…

Superconductivity · Physics 2017-08-23 Bimalendu Deb

We use the variational cluster approximation to study the superconducting ground state in the two-dimensional attractive Hubbard model, putting particular emphasis on the significance of quantum fluctuations of the system. We first show…

Strongly Correlated Electrons · Physics 2014-01-22 Tatsuya Kaneko , Yukinori Ohta

We investigate a two-component Fermi gas with unequal spin populations along the BCS-BEC crossover. By using the extended BCS equations and the concept of off-diagonal-long-range-order we derive a formula for the condensate number of Cooper…

Quantum Gases · Physics 2014-09-30 G. Bighin , L. Salasnich , G. Mazzarella , L. Dell'Anna

We construct a BCS-like model that combines nucleonic pairing correlations and possible quartic correlations of alpha-type in a single variational wave function and derive corresponding gap equations. In the approximation of large…

Nuclear Theory · Physics 2011-09-20 R. A. Sen'kov , V. G. Zelevinsky

We investigate the problem of an infinitely heavy impurity interacting with a dilute Bose gas at zero temperature. When the impurity-boson interactions are short ranged, we show that boson-boson interactions induce a quantum blockade…

Quantum Gases · Physics 2021-09-06 Jesper Levinsen , Luis A. Peña Ardila , Shuhei M. Yoshida , Meera M. Parish

Based on the relativistic Hartree-Bogoliubov theory, the influence of the pairing interaction strength on the di-neutron correlations and the crossover from superfluidity of neutron Cooper pairs in the $^{1}S_{0}$ channel to Bose-Einstein…

Nuclear Theory · Physics 2012-07-05 Ting Ting Sun , Bao Yuan Sun , Jie Meng

Exciton-polariton condensates is an important type of Bose-Einstein condensate whose realization requires efficient relaxation of polaritons to the band-energy minima. However, this process is often obstructed by bottleneck effect near the…

Optics · Physics 2026-05-25 Jiaru Zhou , Wenze Lan , Hao Li , Yu Hua , Peng Fu , Geng Li , Xiaofeng Fan , Changzhi Gu , Baoli Liu

We examine the effect of dissipation on traveling waves in nonlinear dispersive systems modeled by Benjamin- Bona- Mahony (BBM)-like equations. In the absence of dissipation the BBM-like equations are found to support soliton and…

Exactly Solvable and Integrable Systems · Physics 2015-04-14 Aparna Saha , B. Talukdar , Umapada Das , Supriya Chatterjee

We study bosons on the real line in a Poisson random potential (Luttinger--Sy model) with contact interaction in the thermodynamic limit at absolute zero temperature. We prove that generalized Bose--Einstein condensation (BEC) occurs almost…

Mathematical Physics · Physics 2019-02-13 Joachim Kerner , Maximilian Pechmann , Wolfgang Spitzer