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In this study, we perform a strong-coupling expansion up to third order of the hopping parameter $t$ for the spin-1 Bose--Hubbard model with antiferromagnetic interaction. As expected from previous studies, the Mott insulator phase is…

Quantum Gases · Physics 2015-06-11 Takashi Kimura

One of the most remarkable results of quantum mechanics is the fact that many-body quantum systems may exhibit phase transitions even at zero temperature. Quantum fluctuations, deeply rooted in Heisenberg's uncertainty principle, and not…

A Mott insulator sometimes induces unconventional superconductivity in its neighbors when doped and/or pressurized. Because the phase diagram should be strongly related to the microscopic mechanism of the superconductivity, it is important…

Strongly Correlated Electrons · Physics 2019-05-14 Yoshitaka Kawasugi , Kazuhiro Seki , Satoshi Tajima , Jiang Pu , Taishi Takenobu , Seiji Yunoki , Hiroshi M. Yamamoto , Reizo Kato

Non-Hermitian quantum many-body systems are a fascinating subject to be explored. Using the generalized density matrix renormalisation group method and complementary exact diagonalization, we elucidate the many-body ground states and…

Quantum Gases · Physics 2020-06-23 Dan-Wei Zhang , Yu-Lian Chen , Guo-Qing Zhang , Li-Jun Lang , Zhi Li , Shi-Liang Zhu

We study a system with competing short- and global-range interactions in the framework of the Bose-Hubbard model. Using a mean-field approximation we obtain the phase diagram of the system and observe four different phases: a superfluid, a…

Quantum Gases · Physics 2016-10-04 N. Dogra , F. Brennecke , S. D. Huber , T. Donner

We analyze the outcome of a Mott insulator to superfluid transition for a two-component Bose gas with two atoms per site in an optical lattice in the limit of slow ramping down the lattice potential. This manipulation of the initial Mott…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Rodriguez , S. R. Clark , D. Jaksch

The dynamics of bosons in generic multimode systems, such as Bose-Hubbard models, is not only determined by interactions among the particles, but also by their mutual indistinguishability manifested in many-particle interference. We…

Quantum Physics · Physics 2018-05-25 Tobias Brünner , Gabriel Dufour , Alberto Rodríguez , Andreas Buchleitner

Motivated by experimental advances in the synthesis of gauge potentials for ultracold atoms, we consider the superfluid phase of interacting bosons on a square lattice in the presence of a magnetic field. We show that superfluid order…

Quantum Gases · Physics 2010-07-01 Stephen Powell , Ryan Barnett , Rajdeep Sensarma , Sankar Das Sarma

We propose a scheme which can realize an extended two-component Bose-Hubbard model using polaritons confined in an array of optical cavities. In addition to the density-dependent interactions, this model also contains nonlinear coupling…

Strongly Correlated Electrons · Physics 2015-06-11 Yong-Chang Zhang , Xiang-Fa Zhou , Xingxiang Zhou , Guang-Can Guo , Han Pu , Zheng-Wei Zhou

We show that the Mott transition occurring in bosonic Hubbard models can be successfully described by a simple variational wave function that contains all important long-wavelength correlations. Within this approach, a smooth…

Strongly Correlated Electrons · Physics 2007-05-23 Manuela Capello , Federico Becca , Michele Fabrizio , Sandro Sorella

In this paper we report results from a systematic strong-coupling expansion of the Bose-Hubbard model in one and two spatial dimensions. We obtain numerically exact results for the structure factor and the spectrum of single particle and…

Superconductivity · Physics 2007-05-23 Norbert Elstner , Hartmut Monien

We derive an effective Bose-Hubbard model that predicts a phase transition from Bose-Einstein condensate to Mott insulator in two different systems subject to applied periodic potentials: microcavity exciton-polaritons and indirect…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Tim Byrnes , Patrik Recher , Yoshihisa Yamamoto

We demonstrate that the transition from a superfluid to a Mott insulator in the Bose-Hubbard model can be induced by an oscillating force through an effective renormalization of the tunneling matrix element. The mechanism involves adiabatic…

Other Condensed Matter · Physics 2007-05-23 Andre Eckardt , Christoph Weiss , Martin Holthaus

We consider the many-body localization-delocalization transition for strongly interacting one- dimensional disordered bosons and construct the full picture of finite temperature behavior of this system. This picture shows two…

Disordered Systems and Neural Networks · Physics 2016-09-21 V. P. Michal , I. L. Aleiner , B. L. Altshuler , G. V. Shlyapnikov

In condensed-matter physics, electronic Mott insulators have triggered considerable research due to their intricate relation with high-temperature superconductors. However, unlike atomic systems for which Mott phases were recently shown for…

Quantum Gases · Physics 2022-03-09 Camille Lagoin , Stephan Suffit , Kirk Baldwin , Loren Pfeiffer , Francois Dubin

We report on the investigation of the three-dimensional single-atom-resolved distributions of bosonic Mott insulators in momentum-space. Firstly, we measure the two-body and three-body correlations deep in the Mott regime, finding a…

Quantum Gases · Physics 2019-11-13 Cécile Carcy , Hugo Cayla , Antoine Tenart , Alain Aspect , Marco Mancini , David Clément

We investigate the Bose glass phase and the insulator-to-superfluid transition in the two-dimensional disordered boson Hubbard model in the Villain representation via Monte Carlo simulations. In the Bose glass phase the probability…

Superconductivity · Physics 2015-06-25 J. Kisker , H. Rieger

For short-ranged disordered quantum models in one dimension, the Many-Body-Localization is analyzed via the adaptation to the Many-Body context [M. Serbyn, Z. Papic and D.A. Abanin, PRX 5, 041047 (2015)] of the Thouless point of view on the…

Disordered Systems and Neural Networks · Physics 2016-07-11 Cecile Monthus

We present a study of the superfluid properties of atomic Bose gases in optical lattice potentials using the Bose-Hubbard model. To do this, we use a microscopic definition of the superfluid fraction based on the response of the system to a…

Statistical Mechanics · Physics 2009-11-07 R. Roth , K. Burnett

We present a semiclassical approach to many-body quantum propagation in terms of coherent sums over quantum amplitudes associated with the solutions of corresponding classical nonlinear wave equations. This approach adequately describes…

Quantum Physics · Physics 2016-07-07 Thomas Engl , Juan Diego Urbina , Klaus Richter
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