arXiv Open Access 2023

Long-time properties of generic Floquet systems are approximately periodic with the driving period

Yichen Huang

Lihat Sumber

Abstrak

A Floquet quantum system is governed by a Hamiltonian that is periodic in time. Consider the space of piecewise time-independent Floquet systems with (geometrically) local interactions. We prove that for all but a measure zero set of systems in this space, starting from a random product state, many properties (including expectation values of observables and the entanglement entropy of a macroscopically large subsystem) at long times are approximately periodic with the same period as the Hamiltonian. Thus, in almost every Floquet system of arbitrarily large but finite size, discrete time-crystalline behavior does not persist to strictly infinite time.

Topik & Kata Kunci

quant-ph cond-mat.dis-nn cond-mat.stat-mech cond-mat.str-el math-ph

Penulis (1)

Yichen Huang

Format Sitasi

APA MLA BibTeX

Huang, Y. (2023). Long-time properties of generic Floquet systems are approximately periodic with the driving period. https://arxiv.org/abs/2309.05641

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓