A unified stochastic formulation of dissipative quantum dynamics. I. Generalized hierarchical equations

Hsieh, Chang Yu; Cao, Jianshu

doi:10.1063/1.5018725

Cited by 83 publications

(57 citation statements)

References 55 publications

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“…Notice that our simulation proposal is designed for a Gaussian bath. Interestingly, a recently-developed stochastic Liouville equation approach 32 can effectively handle open-system dynamics for spin and fermion bath. In the future it might be beneficial to generalize our approach to handle non-Gaussian baths.…”

Section: Discussionmentioning

confidence: 99%

Efficient quantum simulation of photosynthetic light harvesting

Wang¹,

Tao²,

Ai³

et al. 2018

npj Quantum Inf

114

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Near-unity energy transfer efficiency has been widely observed in natural photosynthetic complexes. This phenomenon has attracted broad interest from different fields, such as physics, biology, chemistry, and material science, as it may offer valuable insights into efficient solar-energy harvesting. Recently, quantum coherent effects have been discovered in photosynthetic light harvesting, and their potential role on energy transfer has seen the heated debate. Here, we perform an experimental quantum simulation of photosynthetic energy transfer using nuclear magnetic resonance (NMR). We show that an N-chromophore photosynthetic complex, with arbitrary structure and bath spectral density, can be effectively simulated by a system with log 2 N qubits. The computational cost of simulating such a system with a theoretical tool, like the hierarchical equation of motion, which is exponential in N, can be potentially reduced to requiring a just polynomial number of qubits N using NMR quantum simulation. The benefits of performing such quantum simulation in NMR are even greater when the spectral density is complex, as in natural photosynthetic complexes. These findings may shed light on quantum coherence in energy transfer and help to provide design principles for efficient artificial light harvesting.

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Section: Discussionmentioning

confidence: 99%

Efficient quantum simulation of photosynthetic light harvesting

Wang¹,

Tao²,

Ai³

et al. 2018

npj Quantum Inf

114

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“…This problem can be fixed by going beyond the classical noise picture. For example, by promoting the classical noise to quantum noise [43] or by relaxing the constraint of unitary dynamics for each noise realization as in the stochastic Liouville equation [44].…”

Section: Spin-boson Modelmentioning

confidence: 99%

When can quantum decoherence be mimicked by classical noise?

Franco

2019

The Journal of Chemical Physics

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Quantum decoherence arises due to uncontrollable entanglement between a system with its environment. However the effects of decoherence are often thought of and modeled through a simpler picture in which the role of the environment is to introduce classical noise in the system's degrees of freedom. Here we establish necessary conditions that the classical noise models need to satisfy to quantitatively model the decoherence. Specifically, for pure-dephasing processes we identify well-defined statistical properties for the noise that are determined by the quantum many-point time correlation function of the environmental operators that enter into the system-bath interaction. In particular, for the exemplifying spin-boson problem with a Lorentz-Drude spectral density we show that the high-temperature quantum decoherence is quantitatively mimicked by colored Gaussian noise. In turn, for dissipative environments we show that classical noise models cannot describe decoherence effects due to spontaneous emission induced by a dissipative environment.These developments provide a rigorous platform to assess the validity of classical noise models of decoherence.

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“…In general, the environmental effects on open quantum systems can be dealt with by stochastic noise processes within the framework of classical and quantum treatments [ 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 ]. For example, Ornstein-Uhlenbeck noise (OUN), as an important Gaussian stochastic process, has been generally used to model the environmental effects in a large number of quantum mechanical systems which exhibit Gaussian fluctuations, such as, Berry phase, dynamical decoherence and construction of robust quantum gates induced by classical fluctuating environments [ 39 , 40 , 41 , 42 ].…”

Section: Introductionmentioning

confidence: 99%

Quantum Dynamics in a Fluctuating Environment

2019

Entropy

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We theoretically investigate the dynamics of a quantum system which is coupled to a fluctuating environment based on the framework of Kubo-Anderson spectral diffusion. By employing the projection operator technique, we derive two types of dynamical equations, namely, time-convolution and time-convolutionless quantum master equations, respectively. We derive the exact quantum master equations of a qubit system with both diagonal splitting and tunneling coupling when the environmental noise is subject to a random telegraph process and a Ornstein-Uhlenbeck process, respectively. For the pure decoherence case with no tunneling coupling, the expressions of the decoherence factor we obtained are consistent with the well-known existing ones. The results are significant to quantum information processing and helpful for further understanding the quantum dynamics of open quantum systems.

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A unified stochastic formulation of dissipative quantum dynamics. I. Generalized hierarchical equations

Abstract: We extend a standard stochastic theory to study open quantum systems coupled to generic quantum environments including the three fundamental classes of non-

Cited by 83 publications

References 55 publications

Efficient quantum simulation of photosynthetic light harvesting

Efficient quantum simulation of photosynthetic light harvesting

When can quantum decoherence be mimicked by classical noise?

Quantum Dynamics in a Fluctuating Environment

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