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We study the non-equilibrium dynamics of one-dimensional Mott insulating bosons in the presence of a tunable effective electric field E which takes the system across a quantum critical point (QCP) separating a disordered and a translation…

Quantum Gases · Physics 2013-05-30 Michael Kolodrubetz , David Pekker , Bryan K. Clark , Krishnendu Sengupta

We study the long time coherence dynamics of a two-mode Bose-Hubbard model in the Josephson interaction regime, as a function of the relative phase and occupation imbalance of an arbitrary coherent preparation. We find that the variance of…

Quantum Gases · Physics 2015-06-04 Christine Khripkov , Doron Cohen , Amichay Vardi

We develop an interferometric technique for making time-resolved measurements of field-quadrature operators for nonequilibrium ultracold bosons in optical lattices. The technique exploits the internal state structure of magnetic atoms to…

Quantum Gases · Physics 2013-03-14 Eite Tiesinga , Philip R. Johnson

We present a non-perturbative analysis of a new experimental technique for probing ultracold bosons in an optical lattice by periodic lattice depth modulations. This is done using the time-dependent density-matrix renormalization group…

Other Condensed Matter · Physics 2007-05-23 C. Kollath , A. Iucci , T. Giamarchi , W. Hofstetter , U. Schollwoeck

We study the von Neumann entropy of a model for two-species hard-core bosons in one dimension. In this model, the same-species bosons satisfy hard-core conditions, while the different-species bosons are allowed to occupy the same site with…

Strongly Correlated Electrons · Physics 2021-03-17 Tae Yong Kim , Hang Gon Cho , Ji-Woo Lee

We numerically study the superfluid to Mott insulator transition for bosonic atoms in a one dimensional lattice by exploiting a recently developed simulation method for strongly correlated systems. We demonstrate this methods accuracy and…

Soft Condensed Matter · Physics 2009-11-10 S. R. Clark , D. Jaksch

The vibrations of a chain of trapped ions can be considered, under suitable experimental conditions, as an ensemble of interacting phonons, whose quantum dynamics is governed by a Bose--Hubbard Hamiltonian. In this work we study the quantum…

Quantum Physics · Physics 2009-11-13 X. -L. Deng , D. Porras , J. I. Cirac

How a closed interacting quantum many-body system relaxes and dephases as a function of time is a fundamental question in thermodynamic and statistical physics. In this work, we analyse and observe the persistent temporal fluctuations after…

Statistical Mechanics · Physics 2020-09-22 Harvey B. Kaplan , Lingzhen Guo , Wen Lin Tan , Arinjoy De , Florian Marquardt , Guido Pagano , Christopher Monroe

The non-equilibrium dynamics of small boson ensembles in a one-dimensional optical lattice is explored upon a sudden quench of an additional harmonic trap from strong to weak confinement. We find that the competition between the initial…

Quantum Physics · Physics 2017-01-25 G. M. Koutentakis , S. I. Mistakidis , P. Schmelcher

By analysing the sensitivity to a twist in the boundary conditions of the stationary state attained by a many-body system long after a quantum quench, we extend the concepts of the helicity modulus and the stiffness to non-equilibrium…

Statistical Mechanics · Physics 2014-07-25 Davide Rossini , Rosario Fazio , Vittorio Giovannetti , Alessandro Silva

Dynamical properties of two-component mass-imbalanced few-fermion systems confined in a one-dimensional harmonic trap following a sudden quench of interactions are studied. It is assumed that initially the system is prepared in the…

Quantum Gases · Physics 2022-11-21 Dillip K. Nandy , Tomasz Sowiński

The study of geometrically frustrated many-body quantum systems is of central importance to uncover novel quantum mechanical effects. We design a scheme where ultracold bosons trapped in a one-dimensional state-dependent optical lattice are…

The study of quantum phase transitions requires the preparation of a many-body system near its ground state, a challenging task for many experimental systems. The measurement of quench dynamics, on the other hand, is now a routine practice…

Quantum Physics · Physics 2019-09-13 Paraj Titum , Joseph T. Iosue , James R. Garrison , Alexey V. Gorshkov , Zhe-Xuan Gong

In this work we study ultracold Fermions confined in a two-dimensional optical lattice and we explore the Mott-insulator transition with the Fermi-Hubbard model. On the basis of a mean-field approach, we study the phase diagrams in the…

Mesoscale and Nanoscale Physics · Physics 2008-05-19 N. Goldman

We apply the theory of inhomogeneous Kibble-Zurek mechanism to understand quench dynamics from the Mott insulator to the superfluid in a cold Bose gases confined in both a two-dimensional optical lattice and a harmonic trap. The local…

Quantum Gases · Physics 2021-01-20 Yoshihiro Machida , Kenichi Kasamatsu

We study low-dimensional quantum systems with analytical and computational methods. Firstly, the one-dimensional extended $t$-$V$ model of fermions with interactions of a finite range is investigated. The model exhibits a phase transition…

Strongly Correlated Electrons · Physics 2018-10-18 Marcin Szyniszewski

We study the ground-state properties and nonequilibrium dynamics of hard-core bosons confined in one-dimensional lattices in the presence of an additional periodic potential (superlattice) and a harmonic trap. The dynamics is analyzed after…

Other Condensed Matter · Physics 2017-09-11 Marcos Rigol , Alejandro Muramatsu , Maxim Olshanii

We study a model of strongly-correlated systems that incorporates phases such as Fermi liquids, non-Fermi liquids, and superconductivity, in addition to potential intertwined orders. The model describes Fermi surfaces of spinful electron…

Strongly Correlated Electrons · Physics 2017-11-15 Yi Zhang

The quench dynamics of the Hubbard model in tilted and harmonic potentials is discussed within the semiclassical picture. Applying the fermionic truncated Wigner approximation (fTWA), the dynamics of imbalances for charge and spin degrees…

Statistical Mechanics · Physics 2022-10-18 Aleksander Kaczmarek , Adam S. Sajna

We propose a concrete experiment to probe the non-equilibrium local dynamics of the one-dimensional Bose-Hubbard model using a trapped ion system consisting of a linear chain of few Ba^+ ions prepared in a state of transverse motional mode…

Quantum Physics · Physics 2016-08-17 T. Dutta , M. Mukherjee , K. Sengupta
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