Non-Markovian Quantum Jumps

Piilo, Jyrki; Maniscalco, Sabrina; Härkönen, Kari; Suominen, Kalle-Antti

doi:10.1103/physrevlett.100.180402

Cited by 310 publications

(368 citation statements)

References 25 publications

Supporting

Mentioning

362

Contrasting

Unclassified

Order By: Relevance

“…The entanglement first experiences some oscillations due to the energy and/or information exchanging back and forth between the qubit and its memory environment [18], then approaches a definite value in the longtime limit, where the decay rate approaches zero after some oscillations, as shown in Fig. 2.…”

Section: (D)mentioning

confidence: 99%

Mechanism of entanglement preservation

et al. 2010

View full text Add to dashboard Cite

We study the entanglement preservation of two qubits locally interacting with their reservoirs. We show that the existence of a bound state of the qubit and its reservoir and the non-Markovian effect are two essential ingredients and their interplay plays a crucial role in preserving the entanglement in the steady state. When the non-Markovian effect is neglected, the entanglement sudden death (ESD) is reproduced. On the other hand, when the non-Markovian is significantly strong but the bound state is absent, the phenomenon of the ESD and its revival is recovered. Our formulation presents a unified picture about the entanglement preservation and provides a clear clue on how to preserve the entanglement in quantum information processing.

show abstract

Section: (D)mentioning

confidence: 99%

Mechanism of entanglement preservation

et al. 2010

View full text Add to dashboard Cite

show abstract

“…One can directly see from equation (10) that whenever the decay rate is negative one cannot apply the MCWF quantum jump method, since one would end up with negative jump probabilities. However it is possible to develop another jump description for the non-Markovian case, inherently different from the Markovian one [26,27,40]. The deterministic evolution is equivalent to the Markovian case, i.e.…”

Section: Master Equations and Jump Descriptionsmentioning

confidence: 99%

“…This view has given the starting point for the development of Monte Carlo simulation methods for Markovian [30,31,32,33] and non-Markovian [13,26,27,34,35,36,37,38,39] open quantum systems in which the time evolution of each state vector in the ensemble contains a stochastic element. One of these methods for Markovian dynamics is the Monte Carlo wave function (MCWF) method which exploits quantum jumps [30].…”

Section: Master Equations and Jump Descriptionsmentioning

confidence: 99%

“…In section 2 we introduce the formulation of non-Markovian dynamics in terms of local-in-time master equations and specify the connection between the quantum and classical cases. We further connect the local in time equation to a quantum jump description [26,27], allowing an interpretation for negative decay rates in the equation. In section 3 we discuss three different points regarding the local in time description, which are often misunderstood, and give some illustrative examples to rebut these misbeliefs.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Local-in-time master equations with memory effects: applicability and interpretation

Laine¹,

Luoma²,

Piilo³

2012

J. Phys. B: At. Mol. Opt. Phys.

View full text Add to dashboard Cite

Abstract. Non-Markovian local in time master equations give a relatively simple way to describe the dynamics of open quantum systems with memory effects. Despite their simple form, there are still many misunderstandings related to the physical applicability and interpretation of these equations. Here we clarify these issues both in the case of quantum and classical master equations. We further introduce the concept of a classical non-Markov chain signified through negative jump rates in the chain configuration.

show abstract

“…On the other hand, the Markov assumption is violated in several situations of interest, e.g. in biological, optical, or solid-state systems [38][39][40][41], where a more detailed description of the environment, including the spectral structure and the inherent memory effects, is required [42][43][44][45]. In this regime, decoherence may be less detrimental and the dynamics may even induce recoherence.…”

Section: Introductionmentioning

confidence: 99%

Collapse and revival of quantum coherence for a harmonic oscillator interacting with a classical fluctuating environment

et al. 2015

Self Cite

View full text Add to dashboard Cite

We address the dynamics of nonclassicality for a quantum system interacting with a noisy fluctuating environment described by a classical stochastic field. As a paradigmatic example, we consider a harmonic oscillator initially prepared in a maximally nonclassical state, e.g., a Fock number state or a Schrödinger-cat-like state, and then coupled to either a resonant or a nonresonant external field. Stochastic modeling allows us to describe the decoherence dynamics without resorting to approximated quantum master equations and to introduce non-Markovian effects in a controlled way. A detailed comparison among different nonclassicality criteria and a thorough analysis of the decoherence time reveal a rich phenomenology whose main features may be summarized as follows: (i) Classical memory effects increase the survival time of quantum coherence and (ii) a detuning between the natural frequency of the system and the central frequency of the classical field induces revivals of quantum coherence.

show abstract

Non-Markovian Quantum Jumps

Cited by 310 publications

References 25 publications

Mechanism of entanglement preservation

Mechanism of entanglement preservation

Local-in-time master equations with memory effects: applicability and interpretation

Collapse and revival of quantum coherence for a harmonic oscillator interacting with a classical fluctuating environment

Contact Info

Product

Resources

About