Full-Counting Many-Particle Dynamics: Nonlocal and Chiral Propagation of Correlations

Physical Review Letters
Yuto Ashida, Masahito Ueda

Abstract

The ability to measure single quanta allows the complete characterization of small quantum systems known as full-counting statistics. Quantum gas microscopy enables one to observe many-body systems at the single-atom precision. We extend the idea of full-counting statistics to nonequilibrium open many-particle dynamics and apply it to discuss the quench dynamics. By way of illustration, we consider an exactly solvable model to demonstrate the emergence of unique phenomena such as nonlocal and chiral propagation of correlations, leading to a concomitant oscillatory entanglement growth. We find that correlations can propagate beyond the conventional maximal speed, known as the Lieb-Robinson bound, at the cost of probabilistic nature of quantum measurement. These features become most prominent at the real-to-complex spectrum transition point of an underlying parity-time-symmetric effective non-Hermitian Hamiltonian. A possible experimental situation with quantum gas microscopy is discussed.

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Citations

Nov 10, 2018·Physical Review Letters·Yuto AshidaMasahito Ueda
Apr 28, 2020·Physical Review Letters·Masaya NakagawaMasahito Ueda
May 23, 2019·Nature Communications·Balázs DóraRoderich Moessner
Apr 18, 2020·Physical Review Letters·Balázs Dóra, Cătălin Paşcu Moca
Dec 7, 2019·Physical Review Letters·Jong Yeon LeeAshvin Vishwanath
Apr 18, 2020·Physical Review Letters·Ádám BácsiBalázs Dóra
Nov 9, 2019·Physical Review Letters·Fei SongZhong Wang
Jan 16, 2021·Physical Review Letters·Ádám BácsiBalázs Dóra
Jan 16, 2021·Physical Review Letters·Norifumi MatsumotoMasahito Ueda

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