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Inferring the dynamical generator of a many-body quantum system from measurement data is essential for the verification, calibration, and control of quantum processors. When the system is open, this task becomes considerably harder than in…

In this paper, we investigate the problem of simulating open system dynamics governed by the well-known Lindblad master equation. In our prequel paper, we introduced an input model in which Lindblad operators are encoded into pure quantum…

量子物理 · 物理学 2023-11-14 Dhrumil Patel , Mark M. Wilde

Semigroups describing the time evolution of open quantum systems in finite dimensional spaces have generators of a special form, known as Lindblad generators. The simple generators, characterized by only one operator, are analyzed. The…

数学物理 · 物理学 2008-06-20 Bernhard Baumgartner , Heide Narnhofer , Walter Thirring

To characterize the generic behavior of open quantum systems, we consider random, purely dissipative Liouvillians with a notion of locality. We find that the positivity of the map implies a sharp separation of the relaxation timescales…

强关联电子 · 物理学 2020-03-18 Kevin Wang , Francesco Piazza , David J. Luitz

Experimentally observed quantum few-body dynamics of neutral atoms excited to a Rydberg state are numerically analyzed with Lindblad master equation formalism. For this, up to five rubidium atoms are trapped with optical tweezers, arranged…

原子物理 · 物理学 2019-04-17 Woojun Lee , Minhyuk Kim , Hanlae Jo , Yunheung Song , Jaewook Ahn

The Liouville equation governing the evolution of the density matrix for an atomic/molecular system is expressed in terms of a commutator between the density matrix and the Hamiltonian, along with terms that account for decay and…

量子物理 · 物理学 2015-06-17 M. S. Shahriar , Ye Wang , Subramanian Krishnamurthy , Y. Tu , G. S. Pati , S. Tseng

We present an efficient theoretical method for calculating the time evolution of the density matrix of a multilevel quantum system weakly interacting with incoherent light. The method combines the Bloch-Redfield theory with a partial…

化学物理 · 物理学 2015-06-23 Timur V. Tscherbul , Paul Brumer

We investigate the relaxation dynamics of a Rydberg gas in regimes where coherent processes and dissipation compete. In the strongly dissipative limit, the dynamics is known to be governed by an effective classical rate equation and to…

量子气体 · 物理学 2026-04-14 Viktoria Noel , Igor Lesanovsky

The majority of quantum open system models in the literature are simplistic in the sense that they only explicitly account for that part of the environment that directly interacts with the system of interest. A quantum open system with an…

量子物理 · 物理学 2007-05-23 Michael R. Gallis

We develop an optimal control algorithm for robust quantum gate preparation in open environments with the state of the quantum system represented using the Lindblad master equation. The algorithm is based on adaptive linearization and…

最优化与控制 · 数学 2025-03-17 Luke S. Baker , Syed A. Shah , Anatoly Zlotnik , Andrei Piryatinski

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

The simulation of many-body open quantum systems is key to solving numerous outstanding problems in physics, chemistry, material science, and in the development of quantum technologies. Near-term quantum computers may bring considerable…

量子物理 · 物理学 2025-02-05 Sara Santos , Xinyu Song , Vincenzo Savona

In this paper we develop two axiomatic tests for the controllability of subsystem codes embedded in decoherence-free subspaces of open quantum systems. The tests expand on existing control theory by considering quantum subsystems where a…

量子物理 · 物理学 2025-03-10 Eric B. Kopp , Raymond Kwong

We consider the real-time evolution of a strongly coupled system of lattice fermions whose dynamics is driven entirely by dissipative Lindblad processes, with linear or quadratic quantum jump operators. The fermion 2-point functions obey a…

量子物理 · 物理学 2016-11-04 Emilie Huffman , Debasish Banerjee , Shailesh Chandrasekharan , Uwe-Jens Wiese

We investigate the long-time behavior of quantum N-level systems that are coupled to a Markovian environment and subject to periodic driving. As our main result, we obtain a general algebraic condition ensuring that all solutions of a…

量子物理 · 物理学 2020-01-08 Paul Menczel , Kay Brandner

Open quantum systems weakly coupled to the environment are modeled by completely positive, trace preserving semigroups of linear maps. The generators of such evolutions are called Lindbladians. In the setting of quantum many-body systems on…

量子物理 · 物理学 2015-04-29 Toby S. Cubitt , Angelo Lucia , Spyridon Michalakis , David Perez-Garcia

We present an effective operator formalism for open quantum systems. Employing perturbation theory and adiabatic elimination of excited states for a weakly driven system, we derive an effective master equation which reduces the evolution to…

量子物理 · 物理学 2012-07-03 Florentin Reiter , Anders S. Sørensen

By exploiting the peculiarities of a recently introduced formalism for describing open quantum systems (the Parametric Representation with Environmental Coherent States) we derive an equation of motion for the reduced density operator of an…

量子物理 · 物理学 2022-11-23 Giovanni Spaventa , Paola Verrucchi

Coherent generation of indistinguishable single photons is crucial for many quantum communication and processing protocols. Solid-state realizations of two-level atomic transitions or three-level spin-$\Lambda$ systems offer significant…

介观与纳米尺度物理 · 物理学 2019-12-03 Zhe-Xian Koong , Dale Scerri , Markus Rambach , Ted S. Santana , Suk-In Park , Jin D. Song , Erik M. Gauger , Brian D. Gerardot

There has been a recent upsurge of interest in the quantum properties of magnons for quantum information processing. An important issue is to examine the stability of quantum states of magnons against various relaxation and dephasing…

介观与纳米尺度物理 · 物理学 2022-12-27 H. Y. Yuan , W. P. Sterk , Akashdeep Kamra , Rembert A. Duine