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Using the independent oscillator model with an arbitrary system potential, we derive a quantum Brownian equation assuming a correlated total initial state. Although not of Lindblad form, the equation preserves positivity of the density…

量子物理 · 物理学 2015-06-05 Allan Tameshtit , J. E. Sipe

We present perturbative error bounds for the non-Markovian dynamics of observables in open quantum systems interacting with Gaussian environments, governed by a general Liouville dynamics. This extends the work of [Mascherpa et al., Phys.…

量子物理 · 物理学 2025-12-16 Zhen Huang , Yuanran Zhu , Gunhee Park , Lin Lin

In this paper, an open quantum system theory for spinfoams is developed. This new formalism aims at deriving an effective Lindblad equation to compute the reduced dynamics of a quantum gravitational field. The system parameters are…

量子物理 · 物理学 2021-05-26 Quentin Ansel

The simulation of quantum processes is a key goal for the grand programme aiming at grounding quantum technologies as the way to explore complex phenomena that are inaccessible through standard, classical calculators. Some interesting steps…

量子物理 · 物理学 2013-06-12 Andrea Chiuri , Chiara Greganti , Laura Mazzola , Mauro Paternostro , Paolo Mataloni

A quantum stochastic model for an open dynamical system (quantum receiver) and output multi-channel of observation with an additive nonvacuum quantum noise is given. A quantum stochastic Master equation for the corresponding instrument is…

量子物理 · 物理学 2015-06-26 V. P. Belavkin

Open quantum systems that interact with a Markovian environment can be described by a Lindblad master equation. The generator of time-translation is given by a Liouvillian superoperator $\mathcal{L}$ acting on the density matrix of the…

量子物理 · 物理学 2023-09-06 Steven Kim , Fabian Hassler

Driven quantum systems subject to non-Markovian noise are typically difficult to model even if the noise is classical. We present a systematic method based on generalized cumulant expansions for deriving a time-local master equation for…

量子物理 · 物理学 2023-04-12 Peter Groszkowski , Alireza Seif , Jens Koch , A. A. Clerk

We present a general formalism based on the variational principle for finding the time-optimal quantum evolution of mixed states governed by a master equation, when the Hamiltonian and the Lindblad operators are subject to certain…

量子物理 · 物理学 2014-12-01 A. Carlini , A. Hosoya , T. Koike , Y. Okudaira

A model master equation suitable for quantum computing dynamics is presented. In an ideal quantum computer (QC), a system of qubits evolves in time unitarily and, by virtue of their entanglement, interfere quantum mechanically to solve…

量子物理 · 物理学 2017-05-31 Frank Tabakin

Master equations govern the time evolution of a quantum system interacting with an environment, and may be written in a variety of forms. Time-independent or memoryless master equations, in particular, can be cast in the well-known Lindblad…

量子物理 · 物理学 2014-05-05 Michael J. W. Hall , James D. Cresser , Li Li , Erika Andersson

A generalization of the stochastic wave function method to quantum master equations which are not in Lindblad form is developed. The proposed stochastic unravelling is based on a description of the reduced system in a doubled Hilbert space…

量子物理 · 物理学 2009-10-31 H. P. Breuer , B. Kappler , F. Petruccione

We study the non-Markovian decoherence and disentanglement dynamics of dissipative quantum systems with special emphasis on non-Gaussian continuous variable systems. The dynamics are described by the Hu-Paz-Zhang master equation of quantum…

量子物理 · 物理学 2007-11-21 C. Hoerhammer , H. Buettner

Markovian master equations, often called Liouvillians or Lindbladians, are used to describe decay and decoherence of a quantum system induced by that system's environment. While a natural environment is detrimental to fragile quantum…

量子物理 · 物理学 2018-02-05 Victor V. Albert

This study delves into the concept of quantum phases in open quantum systems, examining the shortcomings of existing approaches that focus on steady states of Lindbladians and highlighting their limitations in capturing key phase…

量子物理 · 物理学 2025-11-26 Yuchen Guo , Ke Ding , Shuo Yang

The dynamics of Markovian open quantum systems are described by Lindblad master equations, generating a quantum dynamical semigroup. An important concept for such systems is (Davies) irreducibility, i.e., the question whether there exist…

量子物理 · 物理学 2024-03-05 Yikang Zhang , Thomas Barthel

We analyze precision bounds for a local phase estimation in the presence of general, non-Markovian phase noise. We demonstrate that the metrological equivalence of product and maximally entangled states that holds under strictly Markovian…

量子物理 · 物理学 2015-05-27 Alex W. Chin , Susana F. Huelga , Martin B. Plenio

We describe temporally correlated noise processes that influence the idle evolution of a superconducting transmon qubit. To model the composite qubit-environment system we use quantum circuit theory, and we show how a circuit Hamiltonian…

量子物理 · 物理学 2023-05-24 Balázs Gulácsi , Guido Burkard

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

We develop an exact framework to describe the non-Markovian dynamics of an open quantum system interacting with an environment modeled by a generalized spectral density function. The approach relies on mapping the initial system onto an…

量子物理 · 物理学 2020-10-22 Graeme Pleasance , Barry M. Garraway , Francesco Petruccione

We consider open many-body systems governed by a time-dependent quantum master equation with short-range interactions. With a generalized Lieb-Robinson bound, we show that the evolution in this very generic framework is quasi-local, i.e.,…

量子物理 · 物理学 2012-08-10 Thomas Barthel , Martin Kliesch