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A nonperturbative theory is developed, aiming at an exact and efficient evaluation of a general quantum system interacting with arbitrary bath environment at any temperature and in the presence of arbitrary time-dependent external fields.…

Statistical Mechanics · Physics 2007-05-23 Rui-Xue Xu , YiJing Yan

The quantum dynamics of a simplest dissipative system, a particle moving in a constant external field , is exactly studied by taking into account its interaction with a bath of Ohmic spectral density. We apply the main idea and methods…

High Energy Physics - Theory · Physics 2019-08-17 Sun , C. P , L. H. Yu

Efficient descriptions of open quantum systems can be obtained by performing an adiabatic elimination of the fast degrees of freedom and formulating effective operators for the slow degrees of freedom in reduced dimensions. Here, we perform…

We propose an energy-driven stochastic master equation for the density matrix as a dynamical model for quantum state reduction. In contrast, most previous studies of state reduction have considered stochastic extensions of the Schr\"odinger…

Quantum Physics · Physics 2016-12-30 Dorje C. Brody , Lane P. Hughston

We study adiabatic quantum pumps on time scales that are short relative to the cycle of the pump. In this regime the pump is characterized by the matrix of energy shift which we introduce as the dual to Wigner's time delay. The energy shift…

Mathematical Physics · Physics 2009-11-07 J. E. Avron , A. Elgart , G. M. Graf , L. Sadun

We study a generic quantum Markovian master equation for a linearly displaced or driven harmonic oscillator. It was known that the displacement dynamics of Gaussian mixed states depends on the unitary part of the Liouvillian, the decay rate…

Quantum Physics · Physics 2026-05-15 B. A. Tay

The dissipative dynamics of a quantum bistable system coupled to a Ohmic heat bath is investigated beyond the spin-boson approximation. Within the path-integral approach to quantum dissipation, we propose an approximation scheme which…

Statistical Mechanics · Physics 2017-09-19 Luca Magazzù , Davide Valenti , Bernardo Spagnolo , Milena Grifoni

We analyze the efficiency of protocols for adiabatic quantum state transfer assisted by an engineered reservoir. The target dynamics is a quantum trajectory in the Hilbert space and is a fixed point of a time-dependent master equation in…

Quantum Physics · Physics 2024-07-31 Emma C. King , Luigi Giannelli , Raphaël Menu , Johannes N. Kriel , Giovanna Morigi

We introduce a quantum channel to model the dissipative dynamics resulting from the coupling between spin and motional degrees of freedom in chains of neutral atoms with Rydberg interactions. The quantum channel acts on the reduced spin…

Quantum Physics · Physics 2025-07-01 Christopher Wyenberg , Kent Ueno , Alexandre Cooper

Non-adiabatic charge pumping through a single-level quantum dot with periodically modulated parameters is studied theoretically. By means of a quantum-master-equation approach the full counting statistics of the system is obtained. We find…

Mesoscale and Nanoscale Physics · Physics 2016-04-22 Alexander Croy , Ulf Saalmann

A general method of quantum-to-classical reduction of quantum dynamics is described. The key aspect of our method is the similarity transformation of the Liouvillian, which provides a new perspective. In conventional studies of quantum…

Statistical Mechanics · Physics 2015-04-09 Norikazu Kamiya

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…

Quantum Physics · Physics 2012-07-03 Florentin Reiter , Anders S. Sørensen

We derive an exact equation of motion for the reduced density matrices of individual subsystems of quantum many-body systems of any lattice dimension and arbitrary system size. Our projection operator based theory yields a highly efficient…

Quantum Physics · Physics 2014-06-13 Peter Degenfeld-Schonburg , Michael J. Hartmann

Shortcut to adiabaticity in various quantum systems has attracted much attention with the wide applications in quantum information processing and quantum control. In this paper, we concentrate on stimulated Raman shortcut-to-adiabatic…

Quantum Physics · Physics 2016-12-21 Yi-Chao Li , Xi Chen

We discuss how quantum jumps affect localized regimes in driven-dissipative disordered many-body systems featuring a localization transition. We introduce a deformation of the Lindblad master equation that interpolates between the standard…

Quantum Physics · Physics 2024-05-08 Sparsh Gupta , Hari Kumar Yadalam , Manas Kulkarni , Camille Aron

We develop an iterative, numerically exact approach for the treatment of nonequilibrium quantum transport and dissipation problems that avoids the real-time sign problem associated with standard Monte Carlo techniques. The method requires a…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Dvira Segal , Andrew J. Millis , David R. Reichman

We derive an exact non-Markovian master equation that generalizes the previous work [Hu, Paz and Zhang, Phys. Rev. D {\bf 45}, 2843 (1992)] to damped harmonic oscillators with time-varying parameters. This is achieved by exploiting the…

Quantum Physics · Physics 2015-05-18 Kwong Wa Chang , C. K. Law

The optimal control of population transfer for multi-level systems is investigated from the perspective of quantum geometry. Firstly, the general theoretical framework of optimizing the stimulated Raman adiabatic passage (STIRAP) scheme…

Quantum Physics · Physics 2025-12-24 Guan-Qiang Li , Yu-Qi Zhang , Hao Guo , You-Jiao Dong , Zhi-Yu Lin , Ping Peng

In the case of quantum systems interacting with multiple environments, the time-evolution of the reduced density matrix is described by the Liouvillian. For a variety of physical observables, the long-time limit or steady state solution is…

Quantum Physics · Physics 2022-01-05 Rodrigo A. Vargas-Hernández , Ricky T. Q. Chen , Kenneth A. Jung , Paul Brumer

The ensemble-averaged dynamics of open quantum systems are typically irreversible. We show that this irreversibility need not hold at the level of individually monitored quantum trajectories. Our main results are analytical stochastic…

Quantum Physics · Physics 2025-12-23 Einar Gabbassov