1. Solution for an interaction quench in the Lieb-Liniger Bose gas
- Author
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Jacopo De Nardis, Jean-Sébastien Caux, Bram Wouters, Michael Brockmann, and Quantum Condensed Matter Theory (ITFA, IoP, FNWI)
- Subjects
Condensed Matter::Quantum Gases ,Canonical ensemble ,Physics ,Statistical Mechanics (cond-mat.stat-mech) ,Strongly Correlated Electrons (cond-mat.str-el) ,Bose gas ,FOS: Physical sciences ,Atomic and Molecular Physics, and Optics ,Condensed Matter - Strongly Correlated Electrons ,symbols.namesake ,Variational method ,Quantum mechanics ,Thermodynamic limit ,symbols ,Lieb–Liniger model ,Hamiltonian (quantum mechanics) ,Ground state ,Condensed Matter - Statistical Mechanics ,Boson - Abstract
We study a quench protocol where the ground state of a free many-particle bosonic theory in one dimension is let unitarily evolve in time under the integrable Lieb-Liniger Hamiltonian of $\delta$-interacting repulsive bosons. By using a recently-proposed variational method, we here obtain the exact non-thermal steady-state of the system in the thermodynamic limit, and discuss some of its main physical properties. Besides being a rare case of a thermodynamically exact solution to a truly interacting quench situation, this interestingly represents an example where a naive implementation of the generalized Gibbs ensemble fails., Comment: 10 pages, 3 figures
- Published
- 2014
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