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Exactly solvable Hamiltonians with spin liquid ground states have proven to be extremely useful, not only because they unambiguously demonstrate that these phases can arise in systems of interacting spins but also as a pedagogical…

强关联电子 · 物理学 2025-09-09 Leyna Shackleton , Mathias S. Scheurer

Exactly solvable dissipative models provide an analytical tool for studying the relaxation dynamics in open quantum systems. In this work, we study an exactly solvable model based on an anisotropic variant of the Yao-Lee spin-orbital model,…

量子物理 · 物理学 2026-04-07 Zihao Qi , Yuan Xue

Open quantum systems evolving according to discrete-time dynamics are capable, unlike continuous-time counterparts, to converge to a stable equilibrium in finite time with zero error. We consider dissipative quantum circuits consisting of…

量子物理 · 物理学 2017-07-11 Peter D. Johnson , Francesco Ticozzi , Lorenza Viola

We demonstrate a surprising connection between pure steady state entanglement and relaxation timescales in an extremely broad class of Markovian open systems, where two (possibly many-body) systems $A$ and $B$ interact locally with a common…

量子物理 · 物理学 2024-10-17 Andrew Pocklington , Aashish A. Clerk

In this work, we study the driven-dissipative dynamics of a coherently-driven spin ensemble with a squeezed, superradiant decay. This decay consists of a sum of both raising and lowering collective spin operators with a tunable weight. The…

We derive exact results for the Lindblad equation for a quantum spin chain (one-dimensional quantum compass model) with dephasing noise. The system possesses doubly degenerate nonequilibrium steady states due to the presence of a conserved…

统计力学 · 物理学 2023-04-18 Naoyuki Shibata , Hosho Katsura

We present exact solutions for the non-equilibrium steady states of a class of dissipative spinless fermionic systems with arbitrary Hamiltonian pairing terms, global charging energy interactions, and uniform single particle loss on every…

量子物理 · 物理学 2026-05-12 Andrew Lingenfelter , Aashish A. Clerk

We address the real-time dynamics of lattice quantum spin models coupled to single or multiple Markovian dissipative reservoirs using the method of closed hierarchies of correlation functions. This approach allows us to solve a number of…

量子物理 · 物理学 2017-08-09 D. Mesterházy , F. Hebenstreit

Using the Lindblad master equation approach, we investigate the structure of steady-state solutions of open integrable quantum lattice models, driven far from equilibrium by incoherent particle reservoirs attached at the boundaries. We…

统计力学 · 物理学 2018-04-20 Enej Ilievski

In a number of physically relevant contexts, a quantum system interacting with a decohering environment is simultaneously subjected to time-dependent controls and its dynamics is thus described by a time-dependent Lindblad master equation.…

量子物理 · 物理学 2026-02-19 Lasse H. Wolff , Daniel Malz , Rahul Trivedi

We study the critical behavior of the nonequilibrium dynamics and of the steady states emerging from the competition between coherent and dissipative dynamics close to quantum phase transitions. The latter is induced by the coupling of the…

统计力学 · 物理学 2019-11-26 Davide Rossini , Ettore Vicari

Exceptional points (EPs), indicative of parity-time (PT) symmetry breaking, play a central role in non-Hermitian physics, yet most studies begin from deliberately engineered effective Hamiltonians whose parameters are tuned to exhibit…

量子物理 · 物理学 2026-03-12 Eric R. Bittner , Bhavay Tyagi , Kevin E. Bassler

We investigate the dynamical properties of one-dimensional dissipative Fermi-Hubbard models, which are described by the Lindblad master equations with site-dependent jump operators. The corresponding non-Hermitian effective Hamiltonians…

量子气体 · 物理学 2020-08-12 Lei Pan , Xueliang Wang , Xiaoling Cui , Shu Chen

We investigate dissipation-driven topological phase transitions in one-dimensional quantum open systems governed by the Lindblad equation with linear dissipation operators, which ensure the density matrix retains its Gaussian form…

量子物理 · 物理学 2026-01-27 Tian-Shu Deng , Fan Yang

We present a new technique for efficiently simulating (in polynomial time) a class of one-dimensional (1D) dissipative spin chains that, when mapped to fermions, have quadratic Hamiltonians, with the only nonlinearity coming from…

量子物理 · 物理学 2025-09-24 Andrew Pocklington , Aashish A. Clerk

We derive an effective equation of motion within the steady-state subspace of a large family of Markovian open systems (i.e., Lindbladians) due to perturbations of their Hamiltonians and system-bath couplings. Under mild and realistic…

量子物理 · 物理学 2018-09-21 Victor V. Albert , Kyungjoo Noh , Florentin Reiter

We investigate a specific limit of the one-dimensional non-Hermitian Hubbard Hamiltonian with complex interactions. In this framework, fermions with different spin quantum numbers are mapped onto two distinct spin species, resulting in two…

统计力学 · 物理学 2024-12-30 Doru Sticlet , Cătălin Paşcu Moca , Balázs Dóra

The understanding of out-of-equilibrium physics, especially dynamic instabilities and dynamic phase transitions, is one of the major challenges of contemporary science, spanning the broadest wealth of research areas that range from quantum…

其他凝聚态物理 · 物理学 2018-10-09 Alexey Galda , Valerii M. Vinokur

The non-equilibrium dynamics of quantum spin models is a most challenging topic, due to the exponentiality of Hilbert space; and it is central to the understanding of the many-body entangled states that can be generated by state-of-the-art…

量子物理 · 物理学 2023-12-25 Tommaso Roscilde , Tommaso Comparin , Fabio Mezzacapo

The study of dissipation and decoherence in generic open quantum systems recently led to the investigation of spectral and steady-state properties of random Lindbladian dynamics. A natural question is then how realistic and universal those…

统计力学 · 物理学 2020-10-22 Lucas Sá , Pedro Ribeiro , Tankut Can , Tomaž Prosen
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