Dynamics of the quantum phase transition in the one-dimensional Bose-Hubbard model: Excitations and correlations induced by a quench

Bartłomiej Gardas, Jacek Dziarmaga, and Wojciech H. Zurek
Phys. Rev. B 95, 104306 – Published 24 March 2017

Abstract

The ground state of the one-dimensional Bose-Hubbard model at unit filling undergoes the Mott-superfluid quantum phase transition. It belongs to the Kosterlitz-Thouless universality class with an exponential divergence of the correlation length in place of the usual power law. We present numerical simulations of a linear quench both from the Mott insulator to superfluid and back. The results satisfy the scaling hypothesis that follows from the Kibble-Zurek mechanism (KZM). In the superfluid-to-Mott quenches there is no significant excitation in the superfluid phase despite its gaplessness. Since all critical superfluid ground states are qualitatively similar, the excitation begins to build up only after crossing the critical point when the ground state begins to change fundamentally. The last process falls into the KZM framework.

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  • Received 10 January 2017

DOI:https://doi.org/10.1103/PhysRevB.95.104306

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Bartłomiej Gardas

  • Theoretical Division, LANL, Los Alamos, New Mexico 87545, USA; Institute of Physics, University of Silesia, 40-007 Katowice, Poland; and Instytut Fizyki Uniwersytetu Jagiellońskiego, ulica Łojasiewicza 11, PL-30-348 Kraków, Poland

Jacek Dziarmaga

  • Instytut Fizyki Uniwersytetu Jagiellońskiego, ulica Łojasiewicza 11, PL-30-348 Kraków, Poland

Wojciech H. Zurek

  • Theoretical Division, LANL, Los Alamos, New Mexico 87545, USA

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Issue

Vol. 95, Iss. 10 — 1 March 2017

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