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

Arkadiusz Kosior; Andrzej Syrwid; Krzysztof Sacha

doi:10.1103/physreva.98.023612

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arXiv · 1806.05597

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

Arkadiusz Kosior·Andrzej Syrwid·Krzysztof Sacha

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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 non-interacting 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 non-analytical 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.

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Arkadiusz Kosior, Andrzej Syrwid, Krzysztof Sacha. 2018-06-14. Dynamical quantum phase transitions in systems with broken continuous time and space translation symmetries. https://doi.org/10.1103/physreva.98.023612

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