Quantum coherent dynamics in single molecule systems: generalized stochastic Liouville equation

• URL: http://arxiv.org/abs/2004.05561v1
• Date: Sun, 12 Apr 2020 08:03:26 GMT
• Title: Quantum coherent dynamics in single molecule systems: generalized stochastic Liouville equation
• Authors: Xiangji Cai and Yujun Zheng
• Abstract summary: We investigate coherent dynamics in environments which exhibit both nonstationary and non-Markovian features. The coherence of the quantum system can be derived by means of the generalized Liouville equation in two separated averages.
• Score: 2.322461721824713
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose the generalized stochastic Liouville equation to investigate the coherent dynamics in single molecule systems coupled to environments which exhibit both nonstationary and non-Markovian features. The generalized stochastic Liouville equation contains a generalized memory kernel associated with both the intrinsic system Hamiltonian and the non-Markovian features of the environmental noise, which returns to the well-known framework established by Kubo in the limit case that the environmental noise is stationary and memoryless. The coherence of the quantum system can be derived by means of the generalized stochastic Liouville equation in two separated averages with no need to consider the statistical characteristics of the environmental noise. We express the exact analytical expressions of the coherence of the single molecule systems induced by the nonstationary and non-Markovian RTN, and the analytical results of the system coherence are in well consistent with that derived by means of some other theoretical approaches.

Related papers

• Natural disorder distributions from measurement [0.0]
  We consider scenarios where the dynamics of a quantum system are partially determined by prior local measurements of some interacting environmental degrees of freedom. We derive the properties of distributions for both quadrature and photon number measurements. Given a notion of naturally occurring measurement, this suggests a new class of scenarios for the dynamics of quantum systems in particle physics and cosmology.
  arXiv  Detail & Related papers  (2024-05-03T16:20:14Z)
• Exact asymptotics of long-range quantum correlations in a nonequilibrium steady state [0.0]
  We analytically study the scaling of quantum correlation measures on a one-dimensional containing a noninteracting impurity. We derive the exact form of the subleading logarithmic corrections to the extensive terms of correlation measures. This echoes the case of equilibrium states, where such logarithmic terms may convey universal information about the physical system.
  arXiv  Detail & Related papers  (2023-10-25T18:00:48Z)
• Correspondence between open bosonic systems and stochastic differential equations [77.34726150561087]
  We show that there can also be an exact correspondence at finite $n$ when the bosonic system is generalized to include interactions with the environment. A particular system with the form of a discrete nonlinear Schr"odinger equation is analyzed in more detail.
  arXiv  Detail & Related papers  (2023-02-03T19:17:37Z)
• Relaxation to a Parity-Time Symmetric Generalized Gibbs Ensemble after a Quantum Quench in a Driven-Dissipative Kitaev Chain [0.0]
  We show that relaxation of driven-dissipative systems after a quantum quench can be determined by a maximum entropy ensemble. We show that these results apply to broad classes of noninteracting fermionic models.
  arXiv  Detail & Related papers  (2022-03-28T08:59:58Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Harmonic oscillator kicked by spin measurements: a Floquet-like system without classical analogous [62.997667081978825]
  The impulsive driving is provided by stroboscopic measurements on an ancillary degree of freedom. The dynamics of this system is determined in closed analytical form. We observe regimes with crystalline and quasicrystalline structures in phase space, resonances, and evidences of chaotic behavior.
  arXiv  Detail & Related papers  (2021-11-23T20:25:57Z)
• Exact solutions of interacting dissipative systems via weak symmetries [77.34726150561087]
  We analytically diagonalize the Liouvillian of a class Markovian dissipative systems with arbitrary strong interactions or nonlinearity. This enables an exact description of the full dynamics and dissipative spectrum. Our method is applicable to a variety of other systems, and could provide a powerful new tool for the study of complex driven-dissipative quantum systems.
  arXiv  Detail & Related papers  (2021-09-27T17:45:42Z)
• Bridging the gap between topological non-Hermitian physics and open quantum systems [62.997667081978825]
  We show how to detect a transition between different topological phases by measuring the response to local perturbations. Our formalism is exemplified in a 1D Hatano-Nelson model, highlighting the difference between the bosonic and fermionic cases.
  arXiv  Detail & Related papers  (2021-09-22T18:00:17Z)
• QuTiP-BoFiN: A bosonic and fermionic numerical hierarchical-equations-of-motion library with applications in light-harvesting, quantum control, and single-molecule electronics [51.15339237964982]
  "hierarchical equations of motion" (HEOM) is a powerful exact numerical approach to solve the dynamics. It has been extended and applied to problems in solid-state physics, optics, single-molecule electronics, and biological physics. We present a numerical library in Python, integrated with the powerful QuTiP platform, which implements the HEOM for both bosonic and fermionic environments.
  arXiv  Detail & Related papers  (2020-10-21T07:54:56Z)
• Neutrino Decoherence in Simple Open Quantum Systems [4.375669765443605]
  Neutrinos lose coherence as they propagate, which leads to the fading away of oscillations. We model neutrino decoherence induced in open quantum systems from their interaction with the environment.
  arXiv  Detail & Related papers  (2020-09-28T16:52:58Z)
• The Model of Quantum Thermodynamics From the First Principles: Quantum Halo or Small Environment [0.0]
  The evolution of the joint system (JS) - quantum system (QS)+thermal bath (TB)" is considered. The transition between $(in)$ and $(out$) states of the QS are studied in detail taking into account the influence of TB.
  arXiv  Detail & Related papers  (2020-07-31T19:07:29Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.