Quantum Dynamics in a Fluctuating Environment

X, Cai

doi:10.3390/e21111040

Cited by 12 publications

(9 citation statements)

References 59 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We can obtain the first time derivative of the dephasing factor by direct derivation over the time domain dephasing factor in Eq. (22) or by means of inverse Laplace transform similarly as we dealt with above. As a consequence, the dephasing rate can be expressed as…”

Section: Exact Solution Of the Dephasing Factormentioning

confidence: 99%

“…(32), expressed in the form as we derived in Eq. (22). The expression of the dephasing factor in Eq.…”

Section: Modulatable Memory Kernelmentioning

confidence: 99%

“…Many theoretical methods have been well established to investigate the non-Markovian character in the dynamical decoherence of open quantum systems, such as, non-Markovian quantum state diffusion method [15][16][17], projection operator method [18][19][20][21][22], quantum jumps method [23], nonequilibrium Green-function method [24,25] and dynamical maps method [26,27]. Non-Markovian dynamical decoherence induced by the interaction of a * xiangjicai@foxmail.com quantum system with its environment can be also accurately modeled by means of stochastic processes with fixed statistical properties of the environmental noise within the framework of Kubo-Anderson spectral diffusion model.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Quantum dephasing induced by non-Markovian random telegraph noise

2020

Sci Rep

Self Cite

View full text Add to dashboard Cite

We theoretically study the dynamical dephasing of a quantum two level system interacting with an environment exhibiting non-Markovian random telegraph fluctuations. The time evolution of the conditional probability of the environmental noise is governed by a generalized master equation depending on the environmental memory effect. The expression of the dephasing factor is derived exactly which is closely associated with the memory kernel in the generalized master equation for the conditional probability of the environmental noise. In terms of three important types memory kernels, we discuss the quantum dephasing dynamics of the system and the non-Markovian character exhibiting in the dynamical dephasing induced by non-Markovian random telegraph noise. We show that the dynamical dephasing of the quantum system does not always exhibit non-Markovian character which results from that the non-Markovian character in the dephasing dynamics depends both on the environmental non-Markovian character and the interaction between the system and environment. In addition, the dynamical dephasing of the quantum system can be modulated by the external modulation frequency of the environment. This result is significant to quantum information processing and helpful for further understanding non-Markovian dynamics of open quantum systems.

show abstract

Section: Exact Solution Of the Dephasing Factormentioning

confidence: 99%

“…(32), expressed in the form as we derived in Eq. (22). The expression of the dephasing factor in Eq.…”

Section: Modulatable Memory Kernelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Quantum dephasing induced by non-Markovian random telegraph noise

2020

Sci Rep

Self Cite

View full text Add to dashboard Cite

show abstract

“…For instance, the electronic energy transfer processes in photosynthesis and the dynamical decoherence in quantum bit systems exhibit strong non-Markovian behavior [ 23 , 24 , 25 , 26 , 27 , 28 ]. In recent decades, increasing attention has been attracted to theoretically studying the dynamics of open quantum systems beyond the framework of Markovian approximation [ 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 ], and there have been well established theoretical approaches to study the non-Markovian dynamics of open quantum systems within the framework of classical and quantum treatments [ 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 ]. Meanwhile, the coherence and entanglement revivals and entanglement sudden death and rebirth phenomena have been extensively studied theoretically and observed experimentally in the presence of the non-Markovian behavior in the quantum dynamics [ 64 , 65 , 66 , 67 , 68 , 69 ,…”

Section: Introductionmentioning

confidence: 99%

Disentanglement Dynamics in Nonequilibrium Environments

Chen

Han

et al. 2022

Entropy

View full text Add to dashboard Cite

We theoretically study the non-Markovian disentanglement dynamics of a two-qubit system coupled to nonequilibrium environments with nonstationary and non-Markovian random telegraph noise statistical properties. The reduced density matrix of the two-qubit system can be expressed as the Kraus representation in terms of the tensor products of the single qubit Kraus operators. We derive the relation between the entanglement and nonlocality of the two-qubit system which are both closely associated with the decoherence function. We identify the threshold values of the decoherence function to ensure the existences of the concurrence and nonlocal quantum correlations for an arbitrary evolution time when the two-qubit system is initially prepared in the composite Bell states and the Werner states, respectively. It is shown that the environmental nonequilibrium feature can suppress the disentanglement dynamics and reduce the entanglement revivals in non-Markovian dynamics regime. In addition, the environmental nonequilibrium feature can enhance the nonlocality of the two-qubit system. Moreover, the entanglement sudden death and rebirth phenomena and the transition between quantum and classical nonlocalities closely depend on the parameters of the initial states and the environmental parameters in nonequilibrium environments.

show abstract

“…A quantum system loses coherence information in its dynamic evolution resulting from the inevitable environmental coupling. ,, A better understanding of the dynamics of open quantum systems is paramount to preventing or controlling quantum decoherence and the so-called quantum to classical transition. − Experimental results reported during the last decade or so give supporting evidence that electronic quantum coherence aid in the efficient transport of energy and charge from light-harvesting antennas to photosynthetic reaction centers in biological systems, even when incoherent natural light is used as a source of excitation. − …”

Section: Introductionmentioning

confidence: 99%

Molecular Structure, Quantum Coherence, and Solvent Effects on the Ultrafast Electron Transport in BODIPY–C₆₀ Derivatives

Madrid-Úsuga

Reina

2021

J. Phys. Chem. A

View full text Add to dashboard Cite

Photoinduced electron transfer in multichromophore molecular systems is defined by a critical interplay between their core unit configuration (donor, molecular bridge, and acceptor) and their system–solvent coupling; these lead to energy and charge transport processes that are key in the design of molecular antennas for efficient light harvesting and organic photovoltaics. Here, we quantify the ultrafast non-Markovian dissipative dynamics of electron transfer in D−π–A molecular photosystems comprising 1,3,5,7-tetramethyl-8-phenyl-4,4-difluoroboradiazaindacene (BODIPY), Zn–porphyrin, fulleropyrrolidine, and fulleroisoxazoline. We find that the stabilization energy of the charge transfer states exhibits a significant variation for different polar (methanol, tetrahydrofuran (THF)) and nonpolar (toluene) environments and determine such sensitivity according to the molecular structure and the electron–vibration couplings that arise at room temperature. For the considered donor–acceptor (D–A) dyads, we show that the stronger the molecule–solvent coupling, the larger the electron transfer rates, regardless of the dyads’ electronic coherence properties. We find such coupling strengths to be the largest (lowest) for methanol (toluene), with an electron transfer rate difference of 2 orders of magnitude between the polar and nonpolar solvents. For the considered donor–bridge–acceptor (D–B–A) triads, the molecular bridge introduces an intermediate state that allows the realization of Λ or cascaded-type energy mechanisms. We show that the latter configuration, obtained for BDP-ZnP-[PyrC60] in methanol, exhibits the highest transfer rate of all of the computed triads. Remarkably, and in contrast with the dyads, we show that the larger charge transfer rates are obtained for triads that exhibit prolonged electron coherence and population oscillations.

show abstract

Quantum Dynamics in a Fluctuating Environment

Cited by 12 publications

References 59 publications

Quantum dephasing induced by non-Markovian random telegraph noise

Quantum dephasing induced by non-Markovian random telegraph noise

Disentanglement Dynamics in Nonequilibrium Environments

Molecular Structure, Quantum Coherence, and Solvent Effects on the Ultrafast Electron Transport in BODIPY–C₆₀ Derivatives

Contact Info

Product

Resources

About

Quantum Dynamics in a Fluctuating Environment

Cited by 12 publications

References 59 publications

Quantum dephasing induced by non-Markovian random telegraph noise

Quantum dephasing induced by non-Markovian random telegraph noise

Disentanglement Dynamics in Nonequilibrium Environments

Molecular Structure, Quantum Coherence, and Solvent Effects on the Ultrafast Electron Transport in BODIPY–C60 Derivatives

Contact Info

Product

Resources

About

Molecular Structure, Quantum Coherence, and Solvent Effects on the Ultrafast Electron Transport in BODIPY–C₆₀ Derivatives