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We provide the analysis of a physically inspired model for a trapped dilute Bose gas with repulsive pairwise atomic interactions at zero temperature. Our goal is to describe aspects of the excited many-body quantum states by accounting for…

Mathematical Physics · Physics 2021-06-16 Manoussos G. Grillakis , Dionisios Margetis , Stephen Sorokanich

We derive a non-equilibrium finite-temperature kinetic theory for a binary mixture of two interacting atomic Bose-Einstein condensates and use it to explore the degree of hydrodynamicity attainable in realistic experimental geometries.…

Quantum Gases · Physics 2015-12-08 M. J. Edmonds , K. L. Lee , N. P. Proukakis

We propose an index for pairs of a unitary map and a clustering state on many-body quantum systems. We require the map to conserve an integer-valued charge and to leave the state, e.g. a gapped ground state, invariant. This index is…

Mathematical Physics · Physics 2019-09-04 Sven Bachmann , Alex Bols , Wojciech De Roeck , Martin Fraas

We study the equilibrium dynamics of a weakly interacting Bose-Einstein condensate trapped in a box. In our approach we use a semiclassical approximation similar to the description of a multi-mode laser. In dynamical equations derived from…

Condensed Matter · Physics 2015-06-24 K. Goral , M. Gajda , K. Rzazewski

We show a method to accelerate quantum adiabatic transport of identical spinless particles interacting with each other by developing the preceding fast-forward scaling theory formed for one-particle systems [Masuda and Nakamura, {\it Proc.…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Shumpei Masuda

Quantum tunneling dominates coherent transport at low temperatures in many systems of great interest. In this work we report a many--body tunneling (MBT), by nonperturbatively solving the Anderson multi-impurity model, and identify it a…

Mesoscale and Nanoscale Physics · Physics 2017-01-24 WenJie Hou , YuanDong Wang , JianHua Wei , ZhenGang Zhu , YiJing Yan

Quantum transport in the presence of time-dependent drives is dominated by quantum interference and many-body effects at low temperatures. For a periodic driving, the analysis of the full counting statistics revealed the elementary events…

Mesoscale and Nanoscale Physics · Physics 2023-08-02 Matthias Hübler , Wolfgang Belzig

A dynamical many-body theory is presented which systematically extends beyond mean-field and perturbative quantum-field theoretical procedures. It allows us to study the dynamics of strongly interacting quantum-degenerate atomic gases. The…

Other Condensed Matter · Physics 2010-02-04 Thomas Gasenzer , Juergen Berges , Michael G. Schmidt , Marcos Seco

Mathematical results on some models describing the motion of a tracer particle through a Bose-Einstein condensate are described. In the limit of a very dense, very weakly interacting Bose gas and for a very large particle mass, the dynamics…

Analysis of PDEs · Mathematics 2015-05-20 Juerg Froehlich , Zhou Gang , Avy Soffer

We study the stability of attractive atomic Bose-Einstein condensate and the macroscopic quantum many-body tunneling (MQT) in the anharmonic trap. We utilize correlated two-body basis function which keeps all possible two-body correlations.…

Quantum Gases · Physics 2013-09-17 Sudip Kumar Haldar , Pankaj Debnath , Barnali Chakrabarti

We investigate an atomic ensemble of interacting bosons trapped in a symmetric double well potential in contact with a single tightly trapped ion which has been recently proposed [R. Gerritsma et al., Phys. Rev. Lett. 109, 080402 (2012)] as…

Quantum Gases · Physics 2016-06-08 J. M. Schurer , R. Gerritsma , P. Schmelcher , A. Negretti

We study the behavior of a Bose-Einstein condensate held in an optical lattice. We first show how a self-trapping transition can be induced in the system by either increasing the number of atoms occupying a lattice site, or by raising the…

Other Condensed Matter · Physics 2007-05-23 C. E. Creffield

We study a system of one-dimensional interacting quantum particles subjected to a time-periodic potential linear in space. After discussing the cases of driven one- and two-particles systems, we derive the analogous results for the…

Statistical Mechanics · Physics 2020-09-16 Andrea Colcelli , Giuseppe Mussardo , German Sierra , Andrea Trombettoni

We explore the zero-temperature behavior of an assembly of bosons interacting through a zero-range, attractive potential. Because the two-body interaction admits a bound state, the many-body model is best described by a Hamiltonian that…

Other Condensed Matter · Physics 2011-11-10 George E. Cragg , Arthur K. Kerman

We exploit the variation of the atomic interaction in order to move ultra-cold atoms across an AC-driven periodic lattice. By breaking relevant symmetries, a gathering of atoms is achieved. Accurate control of the gathered atoms positions…

Pattern Formation and Solitons · Physics 2015-05-18 L. Morales-Molina , E. Arevalo

Coherent optical information storage capacity of an atomic Bose-Einstein condensate is examined. Theory of slow light propagation in atomic clouds is generalized to short pulse regime by taking into account group velocity dispersion. It is…

Other Condensed Matter · Physics 2009-11-13 Ozgur E. Mustecaplioglu , Devrim Tarhan

The existence of more than one steady-state in a many-body quantum system driven out-of-equilibrium has been a matter of debate, both in the context of simple impurity models and in the case of inelastic tunneling channels. In this Letter,…

Strongly Correlated Electrons · Physics 2013-08-23 Eli. Y. Wilner , Haobin Wang , Guy Cohen , Michael Thoss , Eran Rabani

In a system of ac-driven condensed bosons we study a new type of Josephson effect occurring between states sharing the same region of space and the same internal atom structure. We first develop a technique to calculate the long time…

Quantum Gases · Physics 2012-07-31 M. Heimsoth , C. E. Creffield , L. D. Carr , F. Sols

Adiabatic techniques offer some of the most promising tools to achieve high-fidelity control of the centre-of-mass degree of freedom of single atoms. As their main requirement is to follow an eigenstate of the system, constraints on timing…

Quantum Physics · Physics 2013-12-23 T. Morgan , L. J. O'Riordan , N. Crowley , B. O'Sullivan , Th. Busch

We numerically investigate, using the time evolving block decimation algorithm, the quantum transport of ultra-cold bosonic atoms in a double well optical lattice through slow and periodic modulation of the lattice parameters (intra- and…

Quantum Gases · Physics 2011-07-22 Yinyin Qian , Ming Gong , Chuanwei Zhang
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