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Showing 1 to 6 of 6 for “"Quantum master equation"”.

  1. Theoretical advances toward understanding recent experiments in biophysical chemistry

    … these two limits. In Chapter 4, I present a quantum theory for resonant energy transfer based on using a variational polaron transform to optimally split the Hamiltonian into a zeroth-order part and a perturbation. I then apply a quantum master equation to obtain the dynamics of energy …

    mit Repository record for Theoretical advances toward understanding recent experiments in biophysical chemistry (opens in a new tab)

  2. Quantum Trajectories: Metastability, Gauge Freedom and Weak Symmetries

    This thesis considers quantum systems which interact with their surrounding environment. Specifically we consider the underlying stochastic dynamics which arise from the back-action of measurements performed in the environment. These quantum trajectories can be tracked by continuously monitoring …

    cambridge Repository record for Quantum Trajectories: Metastability, Gauge Freedom and Weak Symmetries (opens in a new tab)

  3. Periodic driving and nonreciprocity in cavity optomechanics

    … a Floquet approach to solve time-periodic quantum Langevin equations in the steady state, show that two-time correlation functions of system operators can be expanded in a Fourier series, and derive a generalized Wiener-Khinchin theorem that relates the Fourier transform of the …

    cambridge Repository record for Periodic driving and nonreciprocity in cavity optomechanics (opens in a new tab)

  4. Nonlinear dissipative dynamics of optomechanical and laser arrays

    … transport. In a second step, we investigate the quantum dynamics of synthetic gauge fields in the minimal setup composed of two optical modes with photon tunneling assisted by a mechanical self-oscillator. Employing the quantum van-der-Pol oscillator as the simplest dynamical model for a …

    cambridge Repository record for Nonlinear dissipative dynamics of optomechanical and laser arrays (opens in a new tab)

  5. How life uses sound to reorganise matter: The role of anharmonic phonon exchange in enzyme catalysis

    … of reaction, however the specific dynamics and quantum mechanics are largely uncharted. Recent experimentation and modelling hints that there is a phase transition dynamic that is fundamental to enzymatic catalysis. The hypothesis that I explore in this thesis is that a mathematical model of a …

    waikato-masters Repository record for How life uses sound to reorganise matter: The role of anharmonic phonon exchange in enzyme catalysis (opens in a new tab)

  6. Quantum dynamics in the condensed phase: path integrals, master equations and purity

    Rigorous approaches to the dynamics of quantum systems in large dissipative environments are extremely challenging, owing to the well-known exponential scaling. The work reported here builds up on existing highly accurate methods developed in our group, namely the quasi-adiabatic propagator (QuAPI) …

    uiuc Repository record for Quantum dynamics in the condensed phase: path integrals, master equations and purity (opens in a new tab)