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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

The dynamics of Markovian open quantum systems are described by Lindblad master equations. For fermionic and bosonic systems that are quasi-free, i.e., with Hamiltonians that are quadratic in the ladder operators and Lindblad operators that…

量子物理 · 物理学 2023-02-03 Thomas Barthel , Yikang Zhang

We aim to bridge the gap between quantum coherence, quantum correlations, and nonequilibrium quantum transport in a quantum double-dot (QDD) system interacting with fermionic reservoirs. The system-reservoir coupling is modeled using a…

量子物理 · 物理学 2025-02-18 Saikumar Krithivasan , Thingujam Yaiphalemba Meitei , Arijit Sen , Md Manirul Ali

We investigate the full counting statistics of a single quantum dot strongly coupled to a local phonon and weakly tunnel-connected to two metallic electrodes. By employing the generalized nonequilibrium Green function method and the…

介观与纳米尺度物理 · 物理学 2015-06-16 Bing Dong , G. H. Ding , X. L. Lei

The Lindblad equation determines the time evolution of the density operator of open quantum systems. While valid for any system size, its use is, in practice, restricted to prototype/surrogate models with the aim of tackling specific…

量子物理 · 物理学 2026-04-07 Benedikt M. Reible , Somayeh Ahmadkhani , Luigi Delle Site

A semiclassical approximation for an evolving density operator, driven by a "closed" hamiltonian operator and "open" markovian Lindblad operators, is obtained. The theory is based on the chord function, i.e. the Fourier transform of the…

量子物理 · 物理学 2020-08-18 A. M. Ozorio de Almeida , P. de M. Rios , O. Brodier

We study the decoherence of a collection of Majorana zero modes weakly coupled to a gapless reservoir of non-interacting fermions. Using the Born-Markov approximation, we derive a Lindblad master equation for the dissipative dynamics of the…

介观与纳米尺度物理 · 物理学 2026-01-21 Sauri Bhattacharyya , Marco Grilli , Bernard van Heck

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

Non-equilibrium steady states are a focal point of research in the study of open quantum systems. Previous variational algorithms for searching these steady states have suffered from resource-intensive implementations due to vectorization…

量子物理 · 物理学 2023-09-14 Hongyi Zhou , Rui Mao , Xiaoming Sun

We develop a method for calculation of charge transfer statistics of persistent current in nanostructures in terms of the cumulant generating function (CGF) of transferred charge. We consider a simply connected one-dimensional system (a…

介观与纳米尺度物理 · 物理学 2014-10-15 A. Komnik , G. W. Langhanke

We consider the exact time-evolution of a broad class of fermionic open quantum systems with both strong interactions and strong coupling to wide-band reservoirs. We present a nontrivial fermionic duality relation between the evolution of…

量子物理 · 物理学 2021-09-15 V. Bruch , K. Nestmann , J. Schulenborg , M. R. Wegewijs

We study spectral and steady-state properties of generic Markovian dissipative systems described by quadratic fermionic Liouvillian operators of the Lindblad form. The Hamiltonian dynamics is modeled by a generic random quadratic operator,…

统计力学 · 物理学 2023-10-16 João Costa , Pedro Ribeiro , Andrea de Luca , Tomaž Prosen , Lucas Sá

We propose exact results for the full counting statistics, or the scaled cumulant generating function, pertaining to the transfer of arbitrary conserved quantities across an interface in homogeneous integrable models out of equilibrium. We…

统计力学 · 物理学 2020-01-22 Jason Myers , M. J. Bhaseen , Rosemary J. Harris , Benjamin Doyon

We investigate the scaling of the fermionic logarithmic negativity (FLN) between complementary intervals in the steady state of a driven-dissipative tight-binding critical chain, coupled to two thermal reservoirs at its edges. We compare…

量子物理 · 物理学 2024-09-11 Antonio D'Abbruzzo , Davide Rossini , Vittorio Giovannetti , Vincenzo Alba

We study charge transport and fluctuations of the (3+1)-dimensional massive free Dirac theory. In particular, we focus on the steady state that emerges following a local quench whereby two independently thermalized halves of the system are…

统计力学 · 物理学 2018-11-14 Takato Yoshimura

Linear response functions are a cornerstone concept in physics as they enable efficient estimation of many dynamical properties. In addition to predicting dynamics of observables under perturbations without resimulating the system, these…

量子物理 · 物理学 2025-10-08 Xiantao Li , Chunhao Wang

Markovian open quantum systems are governed by the Lindblad master equation where the dissipation contains two parts, i.e., the anti-Hermitian operator and the quantum jumps, which share a common dissipation rate. We generalize the Lindblad…

量子物理 · 物理学 2025-03-11 Xu-Ke Gu , Li-Zhou Tan , Franco Nori , J. Q. You

Reservoir engineering has proven to be a practical approach to control open quantum systems, preserving quantum coherence by appropriately manipulating the reservoir and system-reservoir interactions. In this context, for systems comprised…

We study particle current and occupation distribution in a recently proposed model for coherent quantum transport. In this model a system connected to mesoscopic Fermi reservoirs (mesoreservoir) is driven out of equilibrium by the action of…

介观与纳米尺度物理 · 物理学 2016-04-26 Shigeru Ajisaka , Felipe Barra

Floquet engineering of isolated systems is often based on the concept of the effective time-independent Floquet Hamiltonian, which describes the stroboscopic evolution of a periodically driven quantum system in steps of the driving period…

量子物理 · 物理学 2021-10-22 Alexander Schnell , Sergey Denisov , André Eckardt