Duality between open systems and closed bilayer systems: Thermofield double states as quantum many-body scars

A Teretenkov, O Lychkovskiy - Physical Review B, 2024 - APS
We establish a duality between open many-body systems governed by the Gorini-
Kossakowski-Sudarshan-Lindblad (GKSL) equation and satisfying the detailed balance …

Pseudomode expansion of many-body correlation functions

A Teretenkov, F Uskov, O Lychkovskiy - arxiv preprint arxiv:2407.12495, 2024 - arxiv.org
We present an expansion of a many-body correlation function in a sum of pseudomodes-
exponents with complex frequencies that encompass both decay and oscillations. We …

Simulating open quantum systems with giant atoms

G Chen, AF Kockum - arxiv preprint arxiv:2406.13678, 2024 - arxiv.org
Open quantum many-body systems are of both fundamental and applicational interest.
However, it remains an open challenge to simulate and solve such systems, both with state …

Many-body Liouvillian dynamics with a non-Hermitian tensor-network kernel polynomial algorithm

G Chen, JL Lado, F Song - Physical Review Research, 2024 - APS
Understanding the dynamics of open quantum many-body systems is a major problem in
quantum matter. Specifically, efficiently solving the spectrum of the Liouvillian superoperator …

Dephasing-assisted transport in a tight-binding chain with a linear potential

SL Jacob, LP Bettmann, AM Lacerda, K Zawadzki… - Frontiers in …, 2024 - frontiersin.org
An environment interacting with a quantum system can enhance transport through the
suppression of quantum effects responsible for localization. In this paper, we study the …

Polynomially restricted operator growth in dynamically integrable models

I Ermakov, T Byrnes, O Lychkovskiy - arxiv preprint arxiv:2406.13026, 2024 - arxiv.org
We provide a framework to determine the upper bound to the complexity of a computing a
given observable with respect to a Hamiltonian. By considering the Heisenberg evolution of …

Exact density profile in a tight-binding chain with dephasing noise

T Ishiyama, F Kazuya, T Sasamoto - arxiv preprint arxiv:2501.07095, 2025 - arxiv.org
We theoretically investigate the many-body dynamics of a tight-binding chain with
dephasing noise on the infinite interval. We obtain the exact solution of an average particle …