Open Quantum Systems

Rivas, Ana María Rivas; Huelga, Susana F.

doi:10.1007/978-3-642-23354-8

Cited by 763 publications

(962 citation statements)

References 14 publications

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“…First of all, the theory of open quantum systems is a field with many recent advancements and is of experimental relevance to fields like quantum optics, cold atom physics, non-equilibrium driven systems and quantum information. (See [10][11][12][13][14] for textbook treatments of the subject.) It makes logical sense to test these ideas against relativistic QFTs [15,16] and how they change under Wilsonian…”

Section: Jhep11(2017)204 1 Introduction and Motivationmentioning

confidence: 99%

Renormalization in open quantum field theory. Part I. Scalar field theory

Baidya

Jana

Loganayagam

et al. 2017

J. High Energ. Phys.

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While the notion of open quantum systems is itself old, most of the existing studies deal with quantum mechanical systems rather than quantum field theories. After a brief review of field theoretical/path integral tools currently available to deal with open quantum field theories, we go on to apply these tools to an open version of φ 3 + φ 4 theory in four spacetime dimensions and demonstrate its one loop renormalizability (including the renormalizability of the Lindblad structure).

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Section: Jhep11(2017)204 1 Introduction and Motivationmentioning

confidence: 99%

Renormalization in open quantum field theory. Part I. Scalar field theory

Baidya

Jana

Loganayagam

et al. 2017

J. High Energ. Phys.

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show abstract

“…In a realistic quantum process, the system is rarely isolated and commonly interacts with an environment, which results in the information being scattered in the typically large Hilbert space of the environment. In most theoretical models, an open system is studied through the dynamics of the reduced density matrix, upon tracing over the environmental degrees of freedom [1,2]. The dynamics of the system is described by completely positive semigroup maps, or equivalently by the solution of a master equation in Lindblad form [3,4].…”

Section: Introductionmentioning

confidence: 99%

Characterizing non-Markovianity via quantum interferometric power

2015

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Non-Markovian evolution in open quantum systems is often characterized in terms of the backflow of information from environment to system and is thus an important facet in investigating the performance and robustness of quantum information protocols. In this work, we explore non-Markovianity through the breakdown of monotonicity of a metrological figure of merit, called the quantum interferometric power, which is based on the minimal quantum Fisher information obtained by local unitary evolution of one part of the system, and can be interpreted as a quantifier of quantum correlations beyond entanglement. We investigate our proposed non-Markovianity indicator in two relevant examples. First, we consider the action of a single-party dephasing channel on a maximally entangled two-qubit state, by applying the Jamiołkowski-Choi isomorphism. We observe that the proposed measure is consistent with established non-Markovianity quantifiers defined using other approaches based on dynamical divisibility, distinguishability, and breakdown of monotonicity for the quantum mutual information. Further, we consider the dynamics of two-qubit Werner states, under the action of a local, single-party amplitude damping channel, and observe that the nonmonotonic evolution of the quantum interferometric power is more robust than the corresponding one for entanglement in capturing the backflow of quantum information associated with the non-Markovian process. Implications for the role of non-Markovianity in quantum metrology and possible extensions to continuous variable systems are discussed.

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“…Within the realm of quantum thermodynamics (see [12] and the references therein), where the laws of thermodynamics from quantum mechanics and the theory of open quantum systems remain a mainstay [13], particular attention has been put to the Markovian assumptions and the dissipative dynamics proposed by Lindblad and Gorini-Kossakowski-Sudarshan [14,15]. One crucial hallmark is that the off-equilibrium evolution of statistical systems displays stochasticity: see [16][17][18] in the classical regime and [13,[19][20][21] in the quantum one.…”

Section: Introductionmentioning

confidence: 99%

Chemical Reactions Using a Non-Equilibrium Wigner Function Approach

Alvarez‐Estrada

Calvo

2016

Entropy

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Abstract:A three-dimensional model of binary chemical reactions is studied. We consider an ab initio quantum two-particle system subjected to an attractive interaction potential and to a heat bath at thermal equilibrium at absolute temperature T > 0. Under the sole action of the attraction potential, the two particles can either be bound or unbound to each other. While at T = 0, there is no transition between both states, such a transition is possible when T > 0 (due to the heat bath) and plays a key role as k B T approaches the magnitude of the attractive potential. We focus on a quantum regime, typical of chemical reactions, such that: (a) the thermal wavelength is shorter than the range of the attractive potential (lower limit on T) and (b) (3/2)k B T does not exceed the magnitude of the attractive potential (upper limit on T). In this regime, we extend several methods previously applied to analyze the time duration of DNA thermal denaturation. The two-particle system is then described by a non-equilibrium Wigner function. Under Assumptions (a) and (b), and for sufficiently long times, defined by a characteristic time scale D that is subsequently estimated, the general dissipationless non-equilibrium equation for the Wigner function is approximated by a Smoluchowski-like equation displaying dissipation and quantum effects. A comparison with the standard chemical kinetic equations is made. The time τ required for the two particles to transition from the bound state to unbound configurations is studied by means of the mean first passage time formalism. An approximate formula for τ, in terms of D and exhibiting the Arrhenius exponential factor, is obtained. Recombination processes are also briefly studied within our framework and compared with previous well-known methods.

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Open Quantum Systems

Cited by 763 publications

References 14 publications

Renormalization in open quantum field theory. Part I. Scalar field theory

Renormalization in open quantum field theory. Part I. Scalar field theory

Characterizing non-Markovianity via quantum interferometric power

Chemical Reactions Using a Non-Equilibrium Wigner Function Approach

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