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To extend the classical concept of Markovianity to an open quantum system, different notions of the divisibility of its dynamics have been introduced. Here we analyze this issue by five complementary approaches: equations of motion,…

量子物理 · 物理学 2019-07-26 Viktor Reimer , Maarten Rolf Wegewijs , Konstantin Nestmann , Mikhail Pletyukhov

Evolutions under non-Hermitian Hamiltonians with unbroken $\mathcal{PT}$ symmetry can be considered unitary under appropriate choices of inner products, facilitated by the so-called metric operator. While it is understood that the choice of…

量子物理 · 物理学 2025-12-04 Himanshu Badhani , C. M. Chandrashekar

The Lindblad equation is widely employed in studies of Markovian quantum open systems. Here, firstly, a simple result is presented on the time evolution of the non Neumann entropy under the Lindblad equation, which enables one to examine if…

量子物理 · 物理学 2016-10-18 Congjie Ou , Ralph V. Chamberlin , Sumiyoshi Abe

The development of non-Hermitian topological band theory has led to observations of novel topological phenomena in effectively classical, driven and dissipative systems. However, for open quantum many-body systems, the absence of a ground…

介观与纳米尺度物理 · 物理学 2021-07-14 Sharareh Sayyad , Jinlong Yu , Adolfo G. Grushin , Lukas M. Sieberer

We describe how to implement the time-dependent variational principle for matrix product states in the thermodynamic limit for nonuniform lattice systems. This is achieved by confining the nonuniformity to a (dynamically growable) finite…

强关联电子 · 物理学 2013-10-18 Ashley Milsted , Jutho Haegeman , Tobias J. Osborne , Frank Verstraete

Quantum systems with a non-conserved probability can be described by means of non-Hermitian Hamiltonians and non-unitary dynamics. In this paper, the case in which the degrees of freedom can be partitioned in two subsets with light and…

量子物理 · 物理学 2016-10-21 Alessandro Sergi

Motivated by experiments on chains of superconducting qubits, we consider the dynamics of a classical Klein-Gordon chain coupled to coherent driving and subject to dissipation solely at its boundaries. As the strength of the boundary…

统计力学 · 物理学 2023-03-20 Abhinav Prem , Vir B. Bulchandani , S. L. Sondhi

The construction of exactly-solvable models has recently been advanced by considering integrable $T\bar{T}$ deformations and related Hamiltonian deformations in quantum mechanics. We introduce a broader class of non-Hermitian Hamiltonian…

The time evolution of periodically driven non-Hermitian systems is in general non-unitary but can be stable. It is hence of considerable interest to examine the adiabatic following dynamics in periodically driven non-Hermitian systems. We…

量子物理 · 物理学 2018-05-30 Jiangbin Gong , Qing-hai Wang

The non-hermitian quantum dynamics of excitonic energy transfer in photosynthetic systems is investigated using a dissipative two-level dimer model. The approach is based on the Green's function formalism which permits consideration of…

量子物理 · 物理学 2012-04-03 A. Thilagam

Driven-dissipative qubit-resonator dynamics, which are the basis of most dispersive superconducting qubit measurement schemes, are often modeled with Lindblad master equations built from subsystem local jump operators, even when the qubit…

量子物理 · 物理学 2026-05-29 Prakritish Gogoi , Angela Riva , Émile Cochin , Alex Chin

In the thermodynamic limit, the steady states of open quantum many-body systems can undergo nonequilibrium phase transitions due to a competition between coherent and driven-dissipative dynamics. Here, we consider Markovian systems and…

量子物理 · 物理学 2023-09-04 Thomas Barthel , Yikang Zhang

The intriguing physical phenomena associated with exceptional points have established non-Hermitian physics as a frontier of modern research. Recent investigations have extended non-Hermitian physics into the fully quantum domain. However,…

量子物理 · 物理学 2025-11-25 Pei-Rong Han , Huiye Qiu , Hao-Long Zhang , Wen Ning , Zhen-Biao Yang , Shi-Biao Zheng

If an open quantum system is initially uncorrelated from its environment, then its dynamics can be written in terms of a Lindblad-form master equation. The master equation is divided into a unitary piece, represented by an effective…

量子物理 · 物理学 2022-05-12 Patrick Hayden , Jonathan Sorce

We unveil an exotic phenomenon arising from the intricate interplay between non-Hermiticity and many-body physics, namely an occupation-dependent particle separation for hardcore bosons in a one-dimensional lattice driven by uni-directional…

量子气体 · 物理学 2024-03-08 Yi Qin , Linhu Li

In this article, we investigate periodically driven open quantum systems within the framework of Floquet-Lindblad master equations. Specifically, we discuss Lindblad master equations in the presence of a coherent, time-periodic driving and…

Time-resolved photoemission spectroscopy provides a unique and direct way to explore the real-time nonequilibrium dynamics of electrons and holes. The formal theory of the spectral function evolution requires inclusion of electronic…

材料科学 · 物理学 2025-05-09 Thomas Blommel , Enrico Perfetto , Gianluca Stefanucci , Vojtěch Vlček

Modeling the non-equilibrium dissipative dynamics of strongly interacting quantized degrees of freedom is a fundamental problem in several branches of physics and chemistry. We implement a quantum state trajectory scheme for solving…

量子物理 · 物理学 2023-03-17 Johan F. Triana , Felipe Herrera

Linear response theory lies at the heart of quantum many-body physics because it builds up connections between the dynamical response to an external probe and correlation functions at equilibrium. Here we consider the dynamical response of…

量子气体 · 物理学 2020-07-08 Lei Pan , Xin Chen , Yu Chen , Hui Zhai

We study shortcuts to adiabaticity (STAs) through counterdiabatic driving in quantum critical systems in the presence of dissipation. We evaluate unitary as well as nonunitary controls, such that the system density matrix follows a…

统计力学 · 物理学 2025-02-06 Shishira Mahunta , Victor Mukherjee