Dynamical quantum phase transitions in systems with broken continuous time and space translation symmetries

2018/06/30 by Arkadiusz Kosior, Andrzej Syrwid, Krzysztof Sacha
Mathematics · Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Excited state #Geometry #Homogeneous space #Mathematics #Opinion Dynamics and Social Influence #Phase transition #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum phases #Quantum state #Quantum system #Symmetry breaking #Translational symmetry #cond-mat.mes-hall #cond-mat.other #cond-mat.quant-gas #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1103/physreva.98.023612

published as Phys. Rev. A 98, 023612 (2018) · 11 pages, 5 figs, version accepted for publication in Physical Review A

openalex created_date 2018/06/21 · arxiv created 2018/07/30 · openalex publication_date 2018/08/13 · arxiv updated 2018/08/21 · openalex updated_date 2026/08/05

Abstract

Spontaneous breaking of continuous time translation symmetry into a discrete one is related to time crystal formation. While the phenomenon is not possible in the ground state of a time-independent many-body system, it can occur in an excited eigenstate. Here, we concentrate on bosons on a ring with attractive contact interactions and analyze a quantum quench from the time crystal regime to the noninteracting regime. We show that dynamical quantum phase transitions can be observed where the return probability of the system to the initial state before the quench reveals a nonanalytical behavior in time. The problem we consider constitutes an example of the dynamical quantum phase transitions in a system where both time and space continuous translation symmetries are broken.

Citations

• Dynamics of a quantum phase transition and relaxation to a steady state
• Vortex Quantum Creation and Winding Number Scaling in a Quenched Spinor Bose Gas
• Ideal mean-field transition in a modulated cold atom system
• Phase Space Crystals: A New Way to Create a Quasienergy Band Structure
• Second-order quantum phase transition of a homogeneous Bose gas with attractive interactions
• On the phase structure of driven quantum systems
• Fate of a discrete time crystal in an open system
• Three-Dimensional Localized-Delocalized Anderson Transition in the Time Domain
• Time crystals: a review
• Quantum time crystal by decoherence: Proposal with an incommensurate charge density wave ring
• Dynamical quantum phase transitions: a review
• Time Crystal Platform: From Quasicrystal Structures in Time to Systems with Exotic Interactions
• Special Functions and Their Applications