The Markovian quantum master equation
Interplay of Quantum Stochastic and Dynamical Maps to Discern Markovian and Non Markovian Transitions
... ABSTRACT It is known that the dynamical evolution of a system, from an initial tensor product state of system and environment, to any two later times, t 1 , t 2 (t 2 > t 1 ), are both completely positive (CP) but in the ...
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Quantum dynamics in a tiered non Markovian environment
... We have benchmarked our technique against the well-studied spin-boson model and the Rabi model, finding it leads to expressions that are indeed highly accurate when compared with numerically converged solutions. This ...
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THE PERTURBATION TO NON-MARKOVIAN EQUATION OF MOTION CORRESPONDING TO COHERENT AND QUADRATURE NON-MARKOVIAN SSES
... non Markovian open quantum systems which are given by ...Lindblad master equation [5] is solved specifically by the stochastic Schr¨ odinger theory [3, 10, 4, 7, ...post Markovian ...
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Non-Markovian Dissipative Quantum Mechanics with Stochastic Trajectories
... 2.2 Quantum Brownian Limit There are two cases for which the reservoir influence in a Caldeira-Leggett type setup reduces to Markovian dynamics as characterized in Sec ...their master equations ...
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Quantum optics meets black hole thermodynamics via conformal quantum mechanics: I. Master equation for acceleration radiation.
... An important point in the evaluation of the integrals in Eqs. (B1) and (B2) (and sim- ilar relations) is the choice of integration limits for the formal variable t i . These can be effectively pushed to infinity for a ...
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Modelling non-markovian quantum processes with recurrent neural networks
... open quantum systems, the machine learning literature offers a number of other methods, such as Kalman Filters or models with Gaussian Process transitions, that appear particularly ...a quantum context: ...
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Using Matrix-Product States for Open Quantum Many-Body Systems: Efficient Algorithms for Markovian and Non-Markovian Time-Evolution
... the quantum stochastic Schrödinger equation (QSSE) [ 40 – 42 ...the master equation approach, the state vector of the reduced density matrix is evolved in time, while its interaction with the ...
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Quasi non Markovian Approach to the Study of Decoherence of a Controlled Not Quantum Gate in a Chain of Few Nuclear Spins Quantum Computer
... A quantum open system is generally characterized by a non unitary evolution of the reduced density matrix asso- ciated to the central system and its interaction with the ...open quantum systems which it is ...
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Strongly correlated quantum fluids and effective thermalization in non-Markovian driven-dissipative photonic systems
... a quantum optics scheme in an array of driven-dissipative nonlinear resonators with embedded incoherently pumped two-level ...generalized master equation for the photonic degrees of freedom only, ...
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Semiclassical treatment of a Brownian ratchet using the quantum Smoluchowski equation
... Smoluchowski equation must be ...two-state Markovian driving force, where the gov- erning master equation consists of two coupled Smolu- chowski equations ...of quantum tunneling and ...
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Master equation for retrodiction of quantum communication signals
... 2 School of Science, Griffith University, Nathan, Brisbane 4111, Australia. 3 Department of Electronic Systems Engineering, University of Essex, Wivenhoe Park, Colchester CO4 3SQ, U.K. We derive the master ...
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Elliptic Chiral Homology and Quantum Master Equation
... ▶ In [Zhu, 1994], Zhu studied the space of genus 1 conformal block (the 0-th elliptic chiral homology) and establish the modular invariance for certain class of VOA. ▶ Beilinson and Drin[r] ...
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On Markovian cocycle perturbations in classical and quantum probability
... introduce Markovian cocycle perturbations of the groups of transformations associated with classical and quantum stochastic processes with stationary incre- ments, which are characterized by a localization ...
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Making rare events typical in Markovian open quantum systems
... Often, such emission output is characterized by a mostly unstructured sequence of events (e.g., photons emitted from atoms), but with occasional rare periods of ordered sequences or bursts of photons. For instance, ...
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On a Fractional Master Equation and a Fractional Diffusion Equation
... *Corresponding Author: [email protected] Copyright © 2013 Horizon Research Publishing All rights reserved. Abstract In this paper , we derive the solutions of fractional master equation defined by (2.1) ...
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Large Deviations for Non-Markovian Diffusions and a Path-Dependent Eikonal Equation
... Abstract This paper provides a large deviation principle for Non-Markovian, Brow- nian motion driven stochastic differential equations with random coefficients. Similar to Gao & Liu [19], this extends the ...
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Non-Markovian continuous-time quantum walks on lattices with dynamical noise
... continuous-time quantum walks on one-dimensional disordered lattices inducing dynamical noise in the ...between quantum and classical diffusion over the ...the quantum map by assessing its memory ...
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The Master Equation and the Pauli Equation in the Fuzzy Time Model
... Liouville equation is solved by the method of successive ap- proximations in the time domain of a much larger characteristic scale of fuz- ziness, using interaction as a small ...Liouville equation in- ...
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Quantum Algorithms for Boolean Equation Solving and Quantum Algebraic Attack on Cryptosystems
... Boolean equation system has a solution is an NPC problem and finding a solution is NP ...a quantum algorithm to decide whether a Boolean equation system F has a solution and compute one if F does ...
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Non-Markovian Quantum Optics with Three-Dimensional State-Dependent Optical Lattices
... standard quantum optical setups, there exists a growing interest in integrating quantum emitters with nanophotonic struc- tures ...collective quantum emitter (QE) ...Born-Markov master ...
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