Non-Markovian qubit dynamics induced by Coulomb crystals

Borrelli, Massimo; Haikka, Pinja; Chiara, Gabriele De; Maniscalco, Sabrina

doi:10.1103/physreva.88.010101

Cited by 20 publications

(24 citation statements)

References 25 publications

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“…We consider the one-dimensional model, whose phase diagram has been extensively investigated [45]. In contrast to previous works on spin system and ion crystals [46,47], our results show for the first time the existence of a direct connection between the presence or absence of memory effects in the induced open system dynamics and the nature of the environmental excitations, giving rise to either delocalized or localized density fluctuations in the two phases, respectively. By using both analytical and numerical tools, we evaluate the amount of information backflow and its dependence upon the parameters of the Bose-Hubbard model.…”

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confidence: 58%

Bose-Hubbard lattice as a controllable environment for open quantum systems

et al. 2018

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We investigate the open dynamics of an atomic impurity embedded in a one-dimensional Bose-Hubbard lattice. We derive the reduced evolution equation for the impurity and show that the Bose-Hubbard lattice behaves as a tunable engineered environment allowing one to simulate both Markovian and non-Markovian dynamics in a controlled and experimentally realizable way. We demonstrate that the presence or absence of memory effects is a signature of the nature of the excitations induced by the impurity, being delocalized or localized in the two limiting cases of a superfluid and Mott insulator, respectively. Furthermore, our findings show how the excitations supported in the two phases can be characterized as information carriers.

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confidence: 58%

Bose-Hubbard lattice as a controllable environment for open quantum systems

et al. 2018

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“…Interested readers may find examples dealing with, e.g., phenomenological master equations (Mazzola et al, 2010), chaotic systems (Znidaric et al, 2011), energy transfer processes in photosynthetic complexes (Rebentrost and AspuruGuzik, 2011), continous variable quantum key distribution (Vasile et al, 2011b), metrology (Chin et al, 2012), steady state entanglement , Coulomb crystals (Borrelli et al, 2013), symmetry breaking (Chancellor et al, 2013), and time-invariant quantum discord .…”

Section: Introductionmentioning

confidence: 99%

Colloquium: Non-Markovian dynamics in open quantum systems

et al. 2016

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The dynamical behavior of open quantum systems plays a key role in many applications of quantum mechanics, examples ranging from fundamental problems, such as the environment-induced decay of quantum coherence and relaxation in many-body systems, to applications in condensed matter theory, quantum transport, quantum chemistry and quantum information. In close analogy to a classical Markovian stochastic process, the interaction of an open quantum system with a noisy environment is often modeled phenomenologically by means of a dynamical semigroup with a corresponding time-independent generator in Lindblad form, which describes a memoryless dynamics of the open system typically leading to an irreversible loss of characteristic quantum features. However, in many applications open systems exhibit pronounced memory effects and a revival of genuine quantum properties such as quantum coherence, correlations and entanglement. Here, recent theoretical results on the rich non-Markovian quantum dynamics of open systems are discussed, paying particular attention to the rigorous mathematical definition, to the physical interpretation and classification, as well as to the quantification of quantum memory effects. The general theory is illustrated by a series of physical examples. The analysis reveals that memory effects of the open system dynamics reflect characteristic features of the environment which opens a new perspective for applications, namely to exploit a small open system as a quantum probe signifying nontrivial features of the environment it is interacting with. This article further explores the various physical sources of non-Markovian quantum dynamics, such as structured environmental spectral densities, nonlocal correlations between environmental degrees of freedom and correlations in the initial system-environment state, in addition to developing schemes for their local detection. Recent experiments addressing the detection, quantification and control of non-Markovian quantum dynamics are also briefly discussed.

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“…Moreover, for some simple dynamical maps the maximizing pair has been found [25,26,27]. This measure of non-Markovianity has been used extensively to study non-Markovian phenomena (see, e.g., [28,29,30,31,32,33,34]), but it is worth noting that other similar measures have also been introduced. A generalization to continuous variable systems exists, where fidelity is used instead of the trace distance to describe distinguishability of two evolving states [10].…”

Section: Non-markovanity As Reversed Information Flowmentioning

confidence: 99%

Non-Markovian Quantum Probes

Haikka

Maniscalco

2014

Open Syst. Inf. Dyn.

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Abstract. We review the most recent developments in the theory of open quantum systems focusing on situations in which the reservoir memory effects, due to long-lasting and non-negligible correlations between system and environment, play a crucial role. These systems are often referred to as non-Markovian systems. After a brief summary of different measures of non-Markovianity that have been introduced over the last few years we restrict our analysis to the investigation of information flow between system and environment. Within this framework we introduce an important application of non-Markovianity, namely its use as a quantum probe of complex quantum systems. To illustrate this point we consider quantum probes of ultracold gases, spin chains, and trapped ion crystals and show how properties of these systems can be extracted by means of non-Markovianity measures.

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Non-Markovian qubit dynamics induced by Coulomb crystals

Cited by 20 publications

References 25 publications

Bose-Hubbard lattice as a controllable environment for open quantum systems

Bose-Hubbard lattice as a controllable environment for open quantum systems

Colloquium: Non-Markovian dynamics in open quantum systems

Non-Markovian Quantum Probes

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