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A direct numerical algorithm for solving the time-nonlocal non-Markovian master equation in the second Born approximation is introduced and the range of utility of this approximation, and of the Markov approximation, is analyzed for the…

Chemical Physics · Physics 2011-06-30 Navinder Singh , Paul Brumer

We introduce an accurate non-Hermitian Schr\"odinger-type approximation of Bloch optical equations for two-level systems. This approximation provides a complete description of the excitation, relaxation and decoherence dynamics in both weak…

Quantum Physics · Physics 2016-07-11 Raiju Puthumpally-Joseph , Maxim Sukharev , Eric Charron

Quantum information processing has greatly increased interest in the phenomenon of environmentally-induced decoherence. The spin boson model is widely used to study the interaction between a spin-modelling a quantum particle moving in a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Nicholas Wynn Watkins , David Waxman

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…

Chemical Physics · Physics 2015-06-23 Timur V. Tscherbul , Paul Brumer

In a previous work we developed a field theoretical approach to open quantum systems using condensed matter methods. In the Born approximation we derived the Redfield equation on the basis of a multi-oscillator bath, a Dyson equation, a…

Quantum Physics · Physics 2026-02-17 Hans C. Fogedby

We study the time dynamics of the ohmic spin boson model at arbitrary bias $\epsilon$ and small coupling $\alpha$ to the bosonic bath. Using perturbation theory and the real-time renormalization group (RG) method we present a consistent…

Statistical Mechanics · Physics 2018-09-26 Carsten J. Lindner , Herbert Schoeller

The urgent need for reliable simulation tools to match the extreme accuracy needed to control tailored quantum devices highlights the importance of understanding open quantum systems and their modeling. To this end, we compare here the…

We examine the decoherence of an asymmetric two-qubit system that is coupled via a tunable interaction term to a common bath or two individual baths of harmonic oscillators. The dissipative dynamics are evaluated using the Bloch-Redfield…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Markus J. Storcz , Frank Hellmann , Calin Hrelescu , Frank K. Wilhelm

In this paper we investigate non-Markovian evolution of a two-level system (qubit) in a bosonic bath under influence of an external classical fluctuating environment. The interaction with the bath has the Lorentzian spectral density, and…

Quantum Physics · Physics 2020-07-03 V. A. Mikhailov , N. V. Troshkin

We present an exact expansion of the master equation for an open quantum system. The resulting equation is time local and enables us to calculate clearly defined higher order corrections to the Born-Markov approximation. In particular, we…

Quantum Physics · Physics 2014-09-22 Christian Karlewski , Michael Marthaler

We compare approaches to evaluation of decoherence at low temperatures in two-state quantum systems weakly coupled to the environment. By analyzing an exactly solvable model, we demonstrate that a non-Markovian approximation scheme yields…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Dmitry Solenov , Vladimir Privman

We study the dynamics of a two-level system described by a slowly varying Hamiltonian and weakly coupled to the Ohmic environment. We follow the Bloch--Redfield perturbative approach to include the effect of the environment on qubit…

Quantum Physics · Physics 2014-05-20 Canran Xu , Amrit Poudel , Maxim G. Vavilov

We present a multi-level quantum theory of decoherence for a general circuit realization of a superconducting qubit. Using electrical network graph theory, we derive a Hamiltonian for the circuit. The dissipative circuit elements (external…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Guido Burkard , Roger H. Koch , David P. DiVincenzo

Based on the system-reservoir description we propose a simple solvable microscopic model for a nonequilibrium bath. This captures the essential features of a nonstationary quantum Markov process. We establish an appropriate generalization…

Away from equilibrium, the properties of open quantum systems depend on the details of their environment. A microscopic derivation of a master equation (ME) is therefore crucial. Of particular interest are Lindblad-type equations, not only…

Quantum Physics · Physics 2021-07-14 Tobias Becker , Ling-Na Wu , André Eckardt

Within the lowest-order Born approximation, we present an exact calculation of the time dynamics of the spin-boson model in the Ohmic regime. We observe non-Markovian effects at zero temperature that scale with the system-bath coupling…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Daniel Loss , David P. DiVincenzo

We introduce a non-Hermitian approximation of Bloch optical equations. This approximation provides a complete description of the excitation, relaxation and decoherence dynamics of ensembles of coupled quantum systems in weak laser fields,…

Mesoscale and Nanoscale Physics · Physics 2013-01-14 Eric Charron , Maxim Sukharev

Within the lowest-order Born approximation, we present an exact calculation of the time dynamics of the spin-boson model in the ohmic regime. We observe non-Markovian effects at zero temperature that scale with the system-bath coupling…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. P. DiVincenzo , D. Loss

We derive the exact time-evolution for a general quantum system under the influence of pure phase-noise and demonstrate that for a Gaussian initial state of the bath, the exact result can be obtained also within a perturbative time-local…

Quantum Physics · Physics 2008-05-13 Roland Doll , David Zueco , Martijn Wubs , Sigmund Kohler , Peter Hanggi

We calculate in an exact way the conditional past-future correlation for the decay dynamics of a two-level system in a bosonic bath. Different measurement processes are considered. In contrast to quantum memory measures based solely on…

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