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Journal Club for Condensed Matter Physics

Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas

Published Apr 1, 2011• 20 citations
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Abstract

1. Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas Authors: Stefan Trotzky, Yu-Ao Chen, Andreas Flesch, Ian P. McCulloch, Ulrich Schollwock, Jens Eisert, Immanuel Bloch arXiv:1101.2659 (2011) Recommended with a commentary by Leonid Glazman, Yale University | View Commentary (PDF) | DOI: 10.36471/JCCM_March_2011_01 https://doi.org/10.36471/JCCM_March_2011_01

DOI
10.36471/jccm_march_2011_01

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  1. Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas Authors: Stefan Trotzky, Yu-Ao Chen, Andreas Flesch, Ian P. McCulloch, Ulrich Schollwock, Jens Eisert, Immanuel Bloch arXiv:1101.2659 (2011) Recommended with a commentary by Leonid Glazman, Yale University | View Commentary (PDF) | DOI: 10.36471/JCCM_March_2011_01 https://doi.org/10.36471/JCCM_March_2011_01
In this work we study the time evolution of soft core bosons on a one-dimensional lattice, where the particles are initially quenched into a atomic density wave. At time t=0t=0t=0 the particles are released from the quench and can evolve under the dynamics of a soft-core Bose-Hubbard Hamiltonian on a lattice including a confining trap.
Statistical mechanics is one of the most comprehensive theories in physics. From a boiling pot of water to the complex dynamics of quantum many-body systems it provides a successful connection between the microscopic dynamics of atoms and molecules and the macroscopic properties of matter. However, statistical mechanics only describes the thermal equilibrium situation of a system, and there is no general framework to describe how equilibrium is reached or under which circumstances it can be reached at all. This problem is particularly challenging in quantum mechanics, where unitarity appears to render the very concept of thermalization counterintuitive. With the rapid experimental progress in the control and probing of ultracold quantum gases this question has become within reach of detailed experimental investigations. In these notes we present a series of experiments with ultracold one-dimensional Bose gases, which provide novel insights into this fundamental question.