Photon counting statistics in the presence of spectral diffusion induced by nonequilibrium environmental fluctuations

Abstract

We theoretically investigate the statistical properties of photon emission of a driven two-level single-molecule system undergoing spectral diffusion induced by nonequilibrium environmental fluctuations. Within the framework of the generating function method and the stochastic Liouville equation, we analyze the influence of the nonequilibrium characteristics of environmental fluctuations respectively governed by nonstationary Ornstein-Uhlenbeck noise and random telegraph noise on the photon counting statistics of the driven single-molecule system. In the slow modulation limit of spectral diffusion, the intensity and statistical fluctuations of photon emission depend on the environmental nonequilibrium characteristics at short time scales, whereas they become independent of the nonequilibrium characteristics of environmental fluctuations in the steady state. In the fast modulation limit of spectral diffusion, neither the line shape nor the Mandel's parameter depends on the environmental nonequilibrium characteristics owing to the rapid relaxation of environmental fluctuations. These findings not only shed light on the role of nonequilibrium environmental fluctuations in shaping the photon emission properties of single-molecule systems but also provide a basis for distinguishing between equilibrium and nonequilibrium characteristics of environmental fluctuations in experimental measurements.

References in corpus (27)

• Non-Markovian dynamics in open quantum systems
• Ultrastrong coupling regimes of light-matter interaction
• Long-lived quantum coherence in photosynthetic complexes at physiological temperature
• Irreversibility in active matter systems: Fluctuation theorem and mutual information
• Qubit-oscillator dynamics in the dispersive regime: analytical theory beyond rotating-wave approximation
• Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise
• Single-molecule Scale Magnetic Resonance Spectroscopy using Nitrogen-Vacancy Centers in Diamond
• A hybrid stochastic hierarchy equations of motion approach to treat the low temperature dynamics of non-Markovian open quantum systems
• Decoherence from ensembles of two-level fluctuators
• High fidelity one-qubit operations under random telegraph noise
• Effects of counterrotating interaction on driven tunneling dynamics: coherent destruction of tunneling and Bloch-Siegert shift
• Fluctuations and stochastic processes in one-dimensional many-body quantum systems
• Exact solution for the dynamical decoupling of a qubit with telegraph noise
• Nonunitary geometric phases: a qubit coupled to an environment with random noise
• Experimental investigation of the effect of classical noise on quantum non-Markovian dynamics
• Non-Markovian dynamics of single- and two-qubit systems interacting with Gaussian and non-Gaussian fluctuating transverse environments
• Quantum interference in a four-level system of a ${}^{87}\mathrm{Rb}$ atom: Effects of spontaneously generated coherence
• Super and Sub-Poissonian photon statistics for single molecule spectroscopy
• Nonperturbative stochastic dynamics driven by strongly correlated colored noises
• Chiral Light--Matter Interaction Beyond the Rotating-Wave Approximation
• Optimized mitigation of random-telegraph-noise dephasing by spectator-qubit sensing and control
• Continuous Real-Time Sensing with a Nitrogen Vacancy Center via Coherent Population Trapping
• Resource-efficient digital characterization and control of classical non-Gaussian noise
• Reduced equations of motion for quantum systems driven by diffusive Markov processes
• Graphene lattice-layer entanglement under non-Markovian phase noise
• Path integral framework for characterizing and controlling decoherence induced by non-stationary environments on a quantum probe
• Quantum decoherence dynamics in stochastically fluctuating environments