Simulation of open quantum dynamics for various Hamiltonians and spectral densities are ubiquitous for studying various quantum systems.On a quantum computer,only log2N qubits are required for the simulation of an N-d...Simulation of open quantum dynamics for various Hamiltonians and spectral densities are ubiquitous for studying various quantum systems.On a quantum computer,only log2N qubits are required for the simulation of an N-dimensional quantum system,hence simulation in a quantum computer can greatly reduce the computational complexity compared with classical methods.Recently,a quantum simulation approach was proposed for studying photosynthetic light harvesting[npj Quantum Inf.4,52(2018)].In this paper,we apply the approach to simulate the open quantum dynamics of various photosynthetic systems.We show that for Drude—Lorentz spectral density,the dimerized geometries with strong couplings within the donor and acceptor clusters respectively exhibit significantly improved efficiency.We also demonstrate that the overall energy transfer can be optimized when the energy gap between the donor and acceptor clusters matches the optimum of the spectral density.The effects of different types of baths,e.g.,Ohmic,sub-Ohmic,and super-Ohmic spectral densities are also studied.The present investigations demonstrate that the proposed approach is universal for simulating the exact quantum dynamics of photosynthetic systems.展开更多
The axiomatization of physical theories is a fundamental issue of science. The first-order axiomatic system SpecR el for special relativity proposed recently by Andr′eka et al. is not enough to explain all the main r...The axiomatization of physical theories is a fundamental issue of science. The first-order axiomatic system SpecR el for special relativity proposed recently by Andr′eka et al. is not enough to explain all the main results in the theory, including the twin paradox and energy-mass relation. In this paper, from a four-dimensional spacetime perspective, we introduce the concepts of world-line, proper time and four-momentum to our axiomatic system SpecR el^+. Then we introduce an axiom of mass(Ax Mass) and take four-momentum conservation as an axiom(Ax CFM)in SpecR el^+. It turns out that the twin paradox and energy-mass relation can be derived from SpecR el+logically. Hence,as an extension of SpecR el, SpecR el^+is a suitable first-order axiomatic system to describe the kinematics and dynamics of special relativity.展开更多
基金This work was supported by the National Natural Science Foundation of China under Grant Nos.11674033,11474026,and 11505007Beijing Natural Science Foundation under Grant No.1202017N.L.acknowledges partial support from JST PRESTO through Grant No.JPMJPR18GC.
文摘Simulation of open quantum dynamics for various Hamiltonians and spectral densities are ubiquitous for studying various quantum systems.On a quantum computer,only log2N qubits are required for the simulation of an N-dimensional quantum system,hence simulation in a quantum computer can greatly reduce the computational complexity compared with classical methods.Recently,a quantum simulation approach was proposed for studying photosynthetic light harvesting[npj Quantum Inf.4,52(2018)].In this paper,we apply the approach to simulate the open quantum dynamics of various photosynthetic systems.We show that for Drude—Lorentz spectral density,the dimerized geometries with strong couplings within the donor and acceptor clusters respectively exhibit significantly improved efficiency.We also demonstrate that the overall energy transfer can be optimized when the energy gap between the donor and acceptor clusters matches the optimum of the spectral density.The effects of different types of baths,e.g.,Ohmic,sub-Ohmic,and super-Ohmic spectral densities are also studied.The present investigations demonstrate that the proposed approach is universal for simulating the exact quantum dynamics of photosynthetic systems.
基金Supported by the National Science Foundation of China under Grant Nos.11235003 and 11475023National Social Sciences Foundation of China under Grant No.14BZX078+1 种基金the Research Fund for the Doctoral Program of Higher Education of Chinathe Undergraduate Training Program of Beijing
文摘The axiomatization of physical theories is a fundamental issue of science. The first-order axiomatic system SpecR el for special relativity proposed recently by Andr′eka et al. is not enough to explain all the main results in the theory, including the twin paradox and energy-mass relation. In this paper, from a four-dimensional spacetime perspective, we introduce the concepts of world-line, proper time and four-momentum to our axiomatic system SpecR el^+. Then we introduce an axiom of mass(Ax Mass) and take four-momentum conservation as an axiom(Ax CFM)in SpecR el^+. It turns out that the twin paradox and energy-mass relation can be derived from SpecR el+logically. Hence,as an extension of SpecR el, SpecR el^+is a suitable first-order axiomatic system to describe the kinematics and dynamics of special relativity.
