When can quantum decoherence be mimicked by classical noise?

Gu, Bing; Franco, Ignacio

doi:10.1063/1.5099499

Cited by 35 publications

(16 citation statements)

References 48 publications

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“…However, the environment for the molecular motion (e.g., solvent) may have a large inuence on the nonadiabatic polaritonic dynamics through ultrafast electronic decoherence processes. [39][40][41] We introduce an external environment…”

Section: Effects Of the External Environmentmentioning

confidence: 99%

Manipulating nonadiabatic conical intersection dynamics by optical cavities

Mukamel

2020

Chem. Sci.

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Optical cavities hold great promise to manipulate and control the photochemistry of molecules. We demonstrate how molecular photochemical processes can be manipulated by strong light-matter coupling.For a molecule with an inherent conical intersection, optical cavities can induce significant changes in the nonadiabatic dynamics by either splitting the pristine conical intersections into two novel polaritonic conical intersections or by creating light-induced avoided crossings in the polaritonic surfaces. This is demonstrated by exact real-time quantum dynamics simulations of a three-state two-mode model of pyrazine strongly coupled to a single cavity photon mode. We further explore the effects of external environments through dissipative polaritonic dynamics computed using the hierarchical equation of motion method. We find that cavity-controlled photochemistry can be immune to external environments. We also demonstrate that the polariton-induced changes in the dynamics can be monitored by transient absorption spectroscopy. † Electronic supplementary information (ESI) available: (i) Theory and computational protocol of transient absorption spectroscopy for polaritonic chemistry, and (ii) the hierarchical equations of motion method, and relation between spectral density and environment correlation function [eqn (13)]. See

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Section: Effects Of the External Environmentmentioning

confidence: 99%

Manipulating nonadiabatic conical intersection dynamics by optical cavities

Mukamel

2020

Chem. Sci.

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“…On the other hand, the impostor representation is inherently subjective-i.e., it is context-dependent and is not necessarily valid in all contexts-because it is based on functions F (k) that, in general, combine contributions from both sides of SE arrangement. Hence, when the impostor is found, it can be used to simulate the decoherence caused by E in the given specific context 17 , but nothing beyond that purpose. If the impostor proves to be inter-subjective anyway, it can only be by accident, e.g., because it happens to be identical with the objective surrogate.…”

Section: Resultsmentioning

confidence: 99%

“…In fact, unless the environment facilitates its surrogate field, this seemingly insignificant change of context renders impostor representations impossible because the new coupling operator causes the system state to deviate from the form (Eq. 49) by introducing the imaginary part to the second moment 17 .…”

Section: Resultsmentioning

confidence: 99%

“…Essentially, it is an attempt at assigning the involved parties with the distinct roles they play in the dynamics-the environment is viewed as the "influencer", or the "driver", and the system is the "influencee" or the "driven". In formal terms, this idea is implemented by replacing the exact description Ĥ SE with an effective system-only Hamiltonian where the environmental operators have been superseded by an external field [7][8][9][10][11][12][13][14][15][16][17] We will refer to this field as the surrogate field.…”

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confidence: 99%

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Noise representations of open system dynamics

Szańkowski

Cywiński

2020

Sci Rep

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We analyze the conditions under which the dynamics of a quantum system open to a given environment can be simulated with an external noisy field that is a surrogate for the environmental degrees of freedom. We show that such a field is either a subjective or an objective surrogate; the former is capable of simulating the dynamics only for the specific system–environment arrangement, while the latter is an universal simulator for any system interacting with the given environment. Consequently, whether the objective surrogate field exists and what are its properties is determined exclusively by the environment. Thus, we are able to formulate the sufficient criterion for the environment to facilitate its surrogate, and we identify a number of environment types that satisfy it. Finally, we discuss in what sense the objective surrogate field representation can be considered classical and we explain its relation to the formation of system–environment entanglement, and the back-action exerted by the system onto environment.

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“…Various authors [10,46] argue that decoherence and dephasing are fundamentally different things. However, their arguments apply only when a reversal or control of the environmental time evolution is possible in principle, as for instance in NMR experiments, where the nuclear spins are only weakly coupled to the phonons.…”

Section: Discussionmentioning

confidence: 99%

Dephasing versus collapse: Lessons from the tight-binding model with noise

Hofmann,

Drossel

2021

Preprint

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Condensed matter physics at room temperature usually assumes that electrons in conductors can be described as spatially narrow wave packets -in contrast to what the Schrödinger equation would predict. How a finite-temperature environment can localize wave functions is still being debated. Here, we represent the environment by a fluctuating potential and investigate different unravellings of the Lindblad equation that describes the one-dimensional tight-binding model in the presence of such a potential. While all unravellings show a fast loss of phase coherence, only part of them lead to narrow wave packets, among them the quantum-state diffusion unravelling. Surprisingly, the decrease of the wave packet width for the quantum state diffusion model with increasing noise strength is slower than that of the phase coherence length. In addition to presenting analytical and numerical results, we also provide phenomenological explanations for them. We conclude that as long as no feedback between the wave function and the environment is taken into account, there will be no unique description of an open quantum system in terms of wave functions. We consider this to be an obstacle to understanding the quantum-classical transition.

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When can quantum decoherence be mimicked by classical noise?

Cited by 35 publications

References 48 publications

Manipulating nonadiabatic conical intersection dynamics by optical cavities

Manipulating nonadiabatic conical intersection dynamics by optical cavities

Noise representations of open system dynamics

Dephasing versus collapse: Lessons from the tight-binding model with noise

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