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We measure the in-plane distribution of thermally activated vortices in a trapped quasi-2D Bose gas, where we enhance the visibility of density-depleted vortex cores by radially compressing the sample before releasing the trap. The pairing…

Quantum Gases · Physics 2015-06-12 Jae-yoon Choi , Sang Won Seo , Yong-il Shin

We study the effect of the synthetic spin-orbit coupling in a two-component Bose-Hubbard model in one dimension by employing the density-matrix renormalization group method. A ferromagnetic long-range order emerges in both Mott insulator…

Strongly Correlated Electrons · Physics 2014-04-21 Jize Zhao , Shijie Hu , Jun Chang , Ping Zhang , Xiaoqun Wang

In this paper, we study Bose-Einstein condensation of Rydberg-dressed atoms considering finite range interactions. We use Hartree-Fock-Bogoliubov approximation based on Mean-Field approach. Moreover, within this approximation modified by…

Quantum Gases · Physics 2022-10-03 Asliddin Khudoyberdiev , Zabardast Narzikulov , B. Tanatar

We study quantum double dark-solitons by constructing corresponding quantum states in the Lieb-Liniger model for the one-dimensional Bose gas. Here we expect that the Gross-Pitaevskii (GP) equation should play a central role in the long…

Quantum Gases · Physics 2021-11-05 Kayo Kinjo , Eriko Kaminishi , Takashi Mori , Jun Sato , Rina Kanamoto , Tetsuo Deguchi

We derive quantum evolution equations for the dynamics of dilute condensed Bose gases. The approach contains, at different orders of approximation, for cases close to equilibrium, the Gross Pitaevskii equation and the first order Hartree…

Condensed Matter · Physics 2007-05-23 Thorsten Koehler , Keith Burnett

We rigorously discuss the large-$N$ thermodynamics of a Bose gas with a short-range two-body potential. Considering the system as a mixture of $N$ identical components with symmetrical interaction we calculated numerically the temperature…

Quantum Gases · Physics 2018-12-26 Orest Hryhorchak , Volodymyr Pastukhov

Spin-orbit-coupled Bose-Einstein condensates (SOBECs) exhibit two new phases of matter, now known as the stripe and plane-wave phases. When two interacting spin components of a SOBEC spatially overlap, density modulations with periodicity…

Quantum Gases · Physics 2020-02-12 Andika Putra , F. Salces-Cárcoba , Yuchen Yue , Seiji Sugawa , I. B. Spielman

We report direct evidence of superfluidity in a quasi two-dimensional Bose gas by observing its dynamical response to a collective excitation. Relying on a novel local correlation analysis, we are able to probe inhomogeneous clouds and…

We consider the ground state properties of an inhomogeneous two-dimensional Bose gas with a repulsive, short range pair interaction and an external confining potential. In the limit when the particle number $N$ is large but $\bar\rho a^2$…

Statistical Mechanics · Physics 2009-10-31 Elliott H. Lieb , Robert Seiringer , Jakob Yngvason

The transition of atomic, electronic, or e-h systems to quantum phases is an extraordinary process when both microscopic and macroscopic properties of the system undergo fundamental changes. Bose-Einstein condensation, has been observed in…

Strongly Correlated Electrons · Physics 2012-09-27 Peter P. Vasilev , Ian H. White

We consider systems of N bosons trapped on the two-dimensional unit torus, in the Gross-Pitaevskii regime, where the scattering length of the repulsive interaction is exponentially small in the number of particles. We show that low-energy…

Mathematical Physics · Physics 2023-01-11 Cristina Caraci , Serena Cenatiempo , Benjamin Schlein

We consider the Gross-Pitaevskii equation describing an attractive Bose gas trapped to a quasi 2D layer by means of a purely harmonic potential, and which rotates at a fixed speed of rotation $\Omega$. First we study the behavior of the…

Analysis of PDEs · Mathematics 2018-04-11 Mathieu Lewin , Phan Thành Nam , Nicolas Rougerie

In disordered spin systems with antiferromagnetic Heisenberg exchange, transitions into and out of a magnetic-field-induced ordered phase pass through a unique regime. Using quantum Monte Carlo simulations to study the zero-temperature…

Strongly Correlated Electrons · Physics 2009-11-11 Omid Nohadani , Stefan Wessel , Stephan Haas

We study the effect of quantum fluctuations on the dynamics of a quasi-one-dimensional Bose gas in an optical lattice at zero-temperature using the truncated Wigner approximation with a variety of basis sets for the initial fluctuation…

Quantum Gases · Physics 2013-07-11 B. Xiong , T. Yang , Keith A. Benedict

We explore the many-body phases of a two-dimensional Bose-Einstein condensate with cavity-mediated dynamic spin-orbit coupling. By the help of two transverse non-interfering, counterpropagating pump lasers and a single standing-wave cavity…

Quantum Gases · Physics 2021-02-10 Stefan Ostermann , Helmut Ritsch , Farokh Mivehvar

We present a generalized Gross-Pitaevskii equation that describes also the dissipative dynamics of a trapped partially Bose condensed gas. It takes the form of a complex nonlinear Schr\"odinger equation with noise. We consider an…

Statistical Mechanics · Physics 2007-05-23 M. J. Bijlsma , H. T. C. Stoof

We study the Bardeen-Cooper-Shrieffer (BCS) pairing state of a two-component Bose gas with a symmetric spin-orbit coupling. In the dilute limit at low temperatures, this system is essentially a dilute gas of diatomic molecules. We compute…

Quantum Gases · Physics 2017-10-02 Dekun Luo , Lan Yin

We study strongly correlated phases of a pseudo-spin-1/2 Bose gas in an artificial gauge field using the exact diagonalization method. The atoms are confined in two dimensions and interact via a two-body contact potential. In Abelian gauge…

Quantum Gases · Physics 2012-08-10 Tobias Graß , Bruno Juliá-Díaz , Nuria Barberán , Maciej Lewenstein

The Gross-Pitaevskii approximation is a long-wavelength theory widely used to describe a variety of properties of dilute Bose condensates, in particular trapped alkali gases. We point out that for short-ranged repulsive interactions this…

Statistical Mechanics · Physics 2009-10-31 Eugene B. Kolomeisky , T. J. Newman , Joseph P. Straley , Xiaoya Qi

The phase of spins in the quasi-two-dimensional (Q2D) XY model has emerged as a topic of significant interest across multiple physics subfields. Here, we propose a short-range (SR) Q2D XY model defined on a plane perpendicularly intersected…

Statistical Mechanics · Physics 2025-06-25 Minghui Hu , Chao Zhang , Dajun Zhang , Yanan Sun , Youjin Deng , Jian-Ping Lv