Measurement-induced Clock in a Lattice Ring of Non-interacting Electrons
- URL: http://arxiv.org/abs/2312.17672v2
- Date: Wed, 7 Feb 2024 10:23:54 GMT
- Title: Measurement-induced Clock in a Lattice Ring of Non-interacting Electrons
- Authors: David S. Schlegel, Stefan Kehrein
- Abstract summary: We study the emergence of periodicity in a non-interacting steady-state quantum system inspired by quantum time crystals' spontaneous time-translation symmetry breaking.
Our analysis uncovers time-periodic structures in steady-state two-time correlation functions, with periodicity linked to the system's group velocity.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We examine the emergence of periodicity in a non-interacting steady-state
quantum system without external drive inspired by quantum time crystals'
spontaneous time-translation symmetry breaking. Specifically, we consider a
lattice ring of non-interacting electrons undergoing weak local position
measurements. Our analysis uncovers time-periodic structures in steady-state
two-time correlation functions, with periodicity linked to the system's group
velocity. This study demonstrates a measurement-induced clock mechanism,
highlighting periodic behaviors in two-time correlators of a non-equilibrium
steady state, contributing to understanding time-periodic phenomena in
minimally interactive quantum systems.
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