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With their constantly increasing peak performance and memory capacity, modern supercomputers offer new perspectives on numerical studies of open many-body quantum systems. These systems are often modeled by using Markovian quantum master…

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…

Quantum trajectories and superoperator algorithms implemented within the matrix product state (MPS) framework are powerful tools to simulate the real-time dynamics of open dissipative quantum systems. As for the unitary case, the reachable…

Quantum Gases · Physics 2014-11-19 Lars Bonnes , Andreas M. Läuchli

We establish a generic method to analyze the time evolution of open quantum many-body systems. Our approach is based on a variational integration of the quantum master equation describing the dynamics and naturally connects to a variational…

Quantum Physics · Physics 2017-09-29 Vincent R. Overbeck , Hendrik Weimer

We present the Born-Markov approximated Redfield quantum master equation (RQME) description for an open system of non-interacting particles (bosons or fermions) on an arbitrary lattice of $N$ sites in any dimension and weakly connected to…

Statistical Mechanics · Physics 2016-06-16 Archak Purkayastha , Abhishek Dhar , Manas Kulkarni

We present here a brief overview of our work in developing a convolutionless quantum master equation approach suitable for mesoscopic sized systems. Our final equation can be used in the regimes where the golden rule approach is not…

Materials Science · Physics 2007-05-23 Eric R. Bittner , Andrey Pereverzev

For multi-level open quantum system, the interaction between different levels could pose challenge to understand the quantum system both analytically and numerically. In this work, we study the approximation of the dynamics of the…

Quantum Physics · Physics 2018-01-17 Yu Cao , Jianfeng Lu

The evolution of open systems, subject to both Hamiltonian and dissipative forces, is studied by writing the $nm$ element of the time ($t$) dependent density matrix in the form \ber \rho_{nm}(t)&=& \frac {1}{A} \sum_{\alpha=1}^A \gamma…

Statistical Mechanics · Physics 2009-11-11 A. Yahalom , R. Englman

Recently, an effective Lindblad master equation for quantum systems whose dynamics are coupled to dissipative bosonic modes has been introduced [Phys. Rev. Lett. 129, 063601 (2022)]. In this approach, the bosonic modes are adiabatically…

Quantum Physics · Physics 2023-07-18 Simon B. Jäger , Ralf Betzholz

We study a one-dimensional Fermi gas in the presence of dissipative coupling to environment through the Lindblad equation. The dissipation involves energy exchange with the environment and favours the relaxation of electrons to excitations.…

Strongly Correlated Electrons · Physics 2020-04-01 Ádám Bácsi , Catalin Pascu Moca , Balázs Dóra

We study the dynamics and decoherence of a system of two strongly driven qubits in a dissipative cavity. The two qubits have no direct interaction and are individually off-resonantly coupled to a single mode of quantized radiation. We…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Marcin Dukalski , Ya. M. Blanter

Quantum open systems are described in the Markovian limit by master equations in Lindblad form. I argue that common ``quantum jumps'' techniques, which solve the master equation by unraveling its evolution into stochastic trajectories in…

Quantum Physics · Physics 2009-10-30 Todd A. Brun

We consider the problem of the measurement of a system occurring during a finite time interval, while environmentally-induced noise decreases the system-state coherence. We assume a Markovian measuring device and, therefore, use a…

Quantum Physics · Physics 2013-10-25 Carlos Alexandre Brasil , Reginaldo de Jesus Napolitano

We describe a quantum trajectories technique for the unraveling of the quantum adiabatic master equation in Lindblad form. By evolving a complex state vector of dimension $N$ instead of a complex density matrix of dimension $N^2$,…

Quantum Physics · Physics 2024-01-17 Ka Wa Yip , Tameem Albash , Daniel A. Lidar

We describe a method to obtain the reduced density matrix (RDM) correct up to second order in system-bath coupling in \emph{nonequilibrium} steady state situations. The RDM is obtained via a scheme based on analytic continuation, using the…

Statistical Mechanics · Physics 2013-11-22 Juzar Thingna , Jian-Sheng Wang , Peter Hänggi

We present a local Master equation for open system dynamics in two forms: Markovian and non-Markovian. Both have a wider range of validity than the Lindblad equation investigated by Davies. For low temperatures, they do not require coupling…

Quantum Physics · Physics 2016-11-15 Evgeny Mozgunov

We obtain the exact analytical solution for the continuously driven qutrit in the V and $\Lambda$ configurations governed by the Lindblad master equation. We calculate the linear susceptibility in each system, determining regimes of…

Atomic Physics · Physics 2022-05-17 Zachary C. Coleman , Lincoln D. Carr

This paper presents a data-driven approach to learn latent dynamics in superconducting quantum computing hardware. To this end, we augment the dynamical equation of quantum systems described by the Lindblad master equation with a…

Quantum Physics · Physics 2024-02-05 Sohail Reddy , Stefanie Guenther , Yujin Cho

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…

Quantum Physics · Physics 2023-11-14 Dhrumil Patel , Mark M. Wilde

Understanding system-bath correlations in open quantum systems is essential for various quantum information and technology applications. Derivations of most master equations (MEs) for the dynamics of open systems require approximations that…

Quantum Physics · Physics 2024-03-25 A. P. Babu , S. Alipour , A. T. Rezakhani , T. Ala-Nissila