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Time-dependent renormalization was employed to derive a nonlinear quantum master equation (QME), in which the dynamics of a non-equilibrium fluctuation in an irrelevant system are fed back into that of a relevant one. In terms of…

Chemical Physics · Physics 2020-01-03 Akihiro Kimura , Hanayo Tsuzuku

We obtain the finite-temperature unconditional master equation of the density matrix for two coupled quantum dots (CQD) when one dot is subjected to a measurement of its electron occupation number using a point contact (PC). To determine…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Hsi-Sheng Goan , G. J. Milburn , H. M. Wiseman , He Bi Sun

In this paper we derive an effective master equation and quantum trajectory equation for multiple qubits in a single resonator and in the large resonator decay limit. We show that homodyne measurement of the resonator transmission is a weak…

Mesoscale and Nanoscale Physics · Physics 2012-03-15 Chantal L. Hutchison , J. M. Gambetta , Alexandre Blais , F. K. Wilhelm

A quantum finite multi-barrier system, with a periodic potential, is considered and exact expressions for its plane wave amplitudes are obtained using the Transfer Matrix method [10]. This quantum model is then associated with a stochastic…

Statistical Mechanics · Physics 2019-06-26 Emilio N. M. Cirillo , Matteo Colangeli , Lamberto Rondoni

We investigate the quantum equation of motion (qEOM), a hybrid quantum-classical algorithm for computing excitation properties of a fermionic many-body system, with a particular emphasis on the strong-coupling regime. The method is designed…

Nuclear Theory · Physics 2023-09-20 Manqoba Q. Hlatshwayo , John Novak , Elena Litvinova

The hierarchical quantum master equation (HQME) approach is an accurate method to describe quantum transport in interacting nanosystems. It generalizes perturbative master equation approaches by including higher-order contributions as well…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Andre Erpenbeck , Christian Hertlein , Christian Schinabeck , Michael Thoss

We derive a master equation for the motion of a polarizable particle weakly interacting with one or several strongly pumped cavity modes. We focus here on massive particles with complex internal structure such as large molecules and…

Quantum Physics · Physics 2010-08-04 Stefan Nimmrichter , Klemens Hammerer , Peter Asenbaum , Helmut Ritsch , Markus Arndt

We develop a mathematically rigorous theory for the quantum transfer processes in degenerate donor-acceptor dimers in contact with a thermal environment. We calculate explicitly the transfer rates and the acceptor population efficiency. The…

Quantum Physics · Physics 2020-07-15 Marco Merkli , Gennady P. Berman , Avadh Saxena

Beyond the second-order Born approximation, we develop an improved master equation approach to quantum transport by virtue of a self-consistent Born approximation. The basic idea is replacing the free Green's function in the tunneling…

Mesoscale and Nanoscale Physics · Physics 2014-06-27 Jun Li , Jinshuang Jin , Xin-Qi Li , YiJing Yan

A simple and efficient approximation scheme to study electronic transport characteristics of strongly correlated nano devices, molecular junctions or heterostructures out of equilibrium is provided by steady-state cluster perturbation…

Strongly Correlated Electrons · Physics 2015-10-28 Martin Nuss , Gerhard Dorn , Antonius Dorda , Wolfgang von der Linden , Enrico Arrigoni

The master equation plays an important role in many scientific fields including physics, chemistry, systems biology, physical finance, and sociodynamics. We consider the master equation with periodic transition rates. This may represent an…

Quantitative Methods · Quantitative Biology 2017-10-23 Michael Margaliot , Lars Grüne , Thomas Kriecherbauer

The formalism of the generalized quantum master equation (GQME) is an effective tool to simultaneously increase the accuracy and the efficiency of quasiclassical trajectory methods in the simulation of nonadiabatic quantum dynamics. The…

Quantum Physics · Physics 2022-12-28 Graziano Amati , Maximilian A. C. Saller , Aaron Kelly , Jeremy O. Richardson

We introduce a systematic approximation for an efficient evaluation of Born--Markov master equations for steady state transport studies in open quantum systems out of equilibrium: the energy resolved master equation approach. The master…

Quantum Physics · Physics 2020-12-23 Gerhard Dorn , Enrico Arrigoni , Wolfgang von der Linden

Time-resolved electron transport in nano-devices is described by means of a time-nonlocal quantum master equation for the reduced density operator. Our formulation allows for arbitrary time dependences of any device or contact parameter.…

Mesoscale and Nanoscale Physics · Physics 2011-03-02 Alexander Croy , Ulf Saalmann

This work provides an alternative derivation of third order response functions in four wave mixing spectroscopy of multichromophoric macromolecular systems considering only single exciton states. For the case of harmonic oscillator bath…

Quantum Physics · Physics 2026-01-05 Seogjoo J. Jang

Quantum dots are nanoscopic systems, where carriers are confined in all three spatial directions. Such nanoscopic systems are suitable for fundamental studies of quantum mechanics and are candidates for applications such as quantum…

Mesoscale and Nanoscale Physics · Physics 2016-03-16 Bahareh Goldozian , Fikeraddis A. Damtie , Gediminas Kiršanskas , Andreas Wacker

A systematic method of calculating the dynamical conductivity tensor in a general multiband electronic model with strong boson-mediated electron-electron interactions is described. The theory is based on the exact semiclassical expression…

Strongly Correlated Electrons · Physics 2013-03-13 I. Kupcic , Z. Rukelj , S. Barisic

The propagation of a fast particle in a low-density gas at thermal equilibrium is studied in the context of quantum mechanics. A quantum master equation in the Redfield form governing the reduced density matrix of the particle is derived…

Quantum Physics · Physics 2022-12-20 David Gaspard

Transport equations for autonomous driven Fermionic quantum systems are derived with the help of statistical assumptions and of the Markov approximation. The statistical assumptions hold if the system consists of subsystems within which…

Nuclear Theory · Physics 2022-04-20 Hans A. Weidenmüller

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…

Quantum Physics · Physics 2017-05-31 Frank Tabakin