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The precise characterization of dynamics in open quantum systems often presents significant challenges, leading to the introduction of various approximations to simplify a model. One commonly used strategy involves Markovian approximations,…

量子物理 · 物理学 2024-12-04 Zhao-Ming Wang , S. L. Wu , Mark S. Byrd , Lian-Ao Wu

The Lindblad master equation is a frequently used Markovian approach to describe open quantum systems in terms of the temporal evolution of a reduced density matrix. Here, the thermal environment is traced out to obtain an expression to…

核理论 · 物理学 2025-03-11 Jan Rais , Hendrik van Hees , Carsten Greiner

Density Matrix Exponentiation is a technique for simulating Hamiltonian dynamics when the Hamiltonian to be simulated is available as a quantum state. In this paper, we present a natural analogue to this technique, for simulating Markovian…

量子物理 · 物理学 2023-09-06 Dhrumil Patel , Mark M. Wilde

We investigate the relation between non-Hermitian Hamiltonian and Lindblad dynamics in nonequilibrium open quantum systems. Non-Hermitian models can extend phase diagrams and enable sensing advantages, but such effects often rely on…

量子物理 · 物理学 2026-04-13 Grazia Di Bello , Fabrizio Pavan , Vittorio Cataudella , Donato Farina

The dynamics of local observables in a quantum many-body system can be formally described in the language of open systems. The problem is that the bath representing the complement of the local subsystem generally does not allow the common…

统计力学 · 物理学 2025-12-10 Michele Coppola , Mari Carmen Bañuls , Zala Lenarčič

We extend quantum trajectory theory to encompass the evolution of a large class of open quantum systems interacting with an environment at {arbitrary coupling strength}. Specifically, we prove that general time-local quantum master…

量子物理 · 物理学 2022-07-19 Brecht Donvil , Paolo Muratore-Ginanneschi

It is shown that the exact dynamics of a composite quantum system can be represented through a pair of product states which evolve according to a Markovian random jump process. This representation is used to design a general Monte Carlo…

量子物理 · 物理学 2007-05-23 Heinz-Peter Breuer

Markovian dynamics of open quantum systems are described by the L-GKS equation, known also as the Lindblad equation. The equation is expressed by means of left and right matrix multiplications. This formulation hampers numerical…

量子物理 · 物理学 2015-12-11 Morag Am-Shallem , Amikam Levy , Ido Schaefer , Ronnie Kosloff

We consider a class of open quantum many-body Lindblad dynamics characterized by an all-to-all coupling Hamiltonian and by dissipation featuring collective ``state-dependent" rates. The latter encodes local incoherent transitions that…

统计力学 · 物理学 2023-08-16 Eliana Fiorelli , Markus Müller , Igor Lesanovsky , Federico Carollo

Nanoscale devices - either biological or artificial - operate in a regime where the usual assumptions of a structureless, Markovian, bath do not hold. Being able to predict and study the dynamics of such systems is crucial and is usually…

量子物理 · 物理学 2021-11-17 Thibaut Lacroix , Angus Dunnett , Dominic Gribben , Brendon W. Lovett , Alex Chin

The Lindblad equation is commonly used for studying quantum dynamics in open systems that cannot be completely isolated from an environment, relevant to a broad variety of research fields, such as atomic physics, materials science, quantum…

量子物理 · 物理学 2018-09-26 Zhu Ruan , Roi Baer

The foundational studies of the standard, unitary-only quantum theory revolve around the kinematical aspects of quantum entanglement and the improper quantum mixtures. In this paper, we introduce and argue for the foundational character of…

量子物理 · 物理学 2025-01-24 M. Dugic , J. Jeknic-Dugic , M. Arsenijevic

We consider a protocol for the two-time measurement of entropic observables in quantum open systems driven out of thermal equilibrium by coupling to several heat baths. We concentrate on the Markovian approximation of the time-evolution and…

数学物理 · 物理学 2024-12-04 A. Joye , C. -A. Pillet

The non-Markovia dynamics of quantum evolution plays an important role in open quantum sytem. However, how to quantify non-Markovian behavior and what can be obtained from non- Markovianity are still open questions, especially in complex…

The channel induced by a complex system interacting strongly with a qubit is calculated exactly under the assumption of randomness of its eigenvectors. The resulting channel is represented as an isotropic time dependent oscillation of the…

量子物理 · 物理学 2011-08-31 Marko Znidaric , Carlos Pineda , Ignacio Garcia-Mata

Quantum computing offers promising new avenues for tackling the long-standing challenge of simulating the quantum dynamics of complex chemical systems, particularly open quantum systems coupled to external baths. However, simulating such…

量子物理 · 物理学 2025-02-20 Xiaohan Dan , Eitan Geva , Victor S. Batista

We derived quantum trajectories for a system interacting with the environment prepared in a continuous mode single photon state as the limit of discrete filtering model with an environment defined as series of independent qubits prepared…

量子物理 · 物理学 2020-02-11 Anita Dabrowska , Gniewomir Sarbicki , Dariusz Chruscinski

We find the conditions under which a quantum regression theorem can be assumed valid for non-Markovian master equations consisting in Lindblad superoperators with memory kernels. Our considerations are based on a generalized Born-Markov…

量子物理 · 物理学 2008-03-18 Adrian A. Budini

Open quantum systems provide an essential theoretical basis for the development of novel quantum technologies, since any real quantum system inevitably interacts with its environment. Lindblad master equations capture the effect of…

量子物理 · 物理学 2022-12-14 Gary Schmiedinghoff , Götz S. Uhrig

The classical embeddability problem asks whether a given stochastic matrix $T$, describing transition probabilities of a $d$-level system, can arise from the underlying homogeneous continuous-time Markov process. Here, we investigate the…