Transient phases and dynamical transitions in the post-quench evolution of the generalized Bose-Anderson model

Dmitry V. Chichinadze, Pedro Ribeiro, Yulia E. Shchadilova, and Alexey N. Rubtsov
Phys. Rev. B 94, 054301 – Published 1 August 2016

Abstract

The exact description of the time evolution of open correlated quantum systems remains one of the major challenges of condensed matter theory, especially for asymptotic long times where most numerical methods fail. Here, the post-quench dynamics of the N-component Bose-Anderson impurity model is studied in the N limit. The equilibrium phase diagram is similar to that of the Bose-Hubbard model in that it contains local versions of Mott and Bose phases. Using a numerically exact procedure, we are able to study the real-time evolution including asymptotic long-time regimes. The formation of long-lived transient phases is observed for quench paths crossing foreign phases. For quenches inside the local Bose condensed phase, a dynamical phase transition is reported that separates the evolution towards a new equilibrium state and a regime characterized at large times by a persistent phase rotation of the order parameter. We explain how such nondecaying modes can exist in the presence of a dissipative bath. We discuss the extension of our results to the experimental relevant finite-N case and their implication for the existence of nondecaying modes in generic quantum systems in the presence of a bath.

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  • Received 19 April 2016
  • Revised 14 July 2016

DOI:https://doi.org/10.1103/PhysRevB.94.054301

©2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Dmitry V. Chichinadze1,2,*, Pedro Ribeiro3,2, Yulia E. Shchadilova4,2, and Alexey N. Rubtsov2,1

  • 1Department of Physics, Lomonosov Moscow State University, Leninskie gory 1, 119991 Moscow, Russia
  • 2Russian Quantum Center, Novaya 100, 143025 Skolkovo, Moscow Region, Russia
  • 3CeFEMA, Instituto Superior Técnico, Universidade de Lisboa Av. Rovisco Pais, 1049-001 Lisboa, Portugal
  • 4Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA

  • *Correspondence should be addressed: dchichinadze@gmail.com

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Issue

Vol. 94, Iss. 5 — 1 August 2016

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