Path-Integral Approach to Quantum Acoustics

Abstract

A path-integral approach to quantum acoustics is developed here. In contrast to the commonly utilized particle perspective, this emerging field brings forth a long neglected but essential wave paradigm for lattice vibrations. Within the coherent state picture, we formulate a non-Markovian, stochastic master equation that captures the exact dynamics of any system with coupling linear in the bath coordinates and nonlinear in the system coordinates. We further demonstrate the capability of the presented master equation by applying the corresponding procedure to the eminent Fröhlich model. In general, we establish a solid foundation for quantum acoustics as a kindred framework to quantum optics, while paving the way for deeper first-principle explorations of non-perturbative system dynamics driven by lattice vibrations.

References in corpus (67)

• Thermalization and its mechanism for generic isolated quantum systems
• Electron-phonon interactions from first principles
• Non-Markovian dynamics in open quantum systems
• Controlling electron-phonon interactions in graphene at ultra high carrier densities
• Acoustic phonon scattering limited carrier mobility in 2D extrinsic graphene
• Keldysh Field Theory for Driven Open Quantum Systems
• Quantum Darwinism
• Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
• Nuclear quantum effects enter the mainstream
• Saturation of electrical resistivity
• Exact dynamics of dissipative electronic systems and quantum transport: Hierarchical equations of motion approach
• Phonon scattering dominated electron transport in twisted bilayer graphene
• Universality of the Mott-Ioffe-Regel limit in metals
• Alternatives to Eigenstate Thermalization
• The Uniform Electron Gas at Warm Dense Matter Conditions
• Out-of-time-order correlators in quantum mechanics
• Hierarchy of stochastic pure states for open quantum system dynamics
• Linear in Temperature Resistivity and Associated Mysteries
• Origins of bad metal conductivity and the insulator-metal transition in the rare-earth nickelates
• Efficient simulation of finite-temperature open quantum systems
• Transient localization in crystalline organic semiconductors
• Fermi surface of the most dilute superconductor
• A general approach to quantum dynamics using a variational master equation: Application to phonon-damped Rabi rotations in quantum dots
• Visualization of Dynamic Polaronic Strain Fields in Hybrid Lead Halide Perovskites
• Non-Markovian Quantum Trajectories Versus Master Equations: Finite Temperature Heat Bath
• A simple and accurate algorithm for path integral molecular dynamics with the Langevin thermostat
• Few-mode Field Quantization of Arbitrary Electromagnetic Spectral Densities
• Electronic band structure and pinning of Fermi energy to van Hove singularities in twisted bilayer graphene: a self consistent approach
• Mechanism of carrier localization in doped perovskite nanocrystals for bright emission
• Thermofield-based chain mapping approach for open quantum systems
• A unified thermostat scheme for efficient configurational sampling for classical/quantum canonical ensembles via molecular dynamics
• Simulating spin-boson dynamics with stochastic Liouville-von Neumann equations
• Generalized theory of pseudomodes for exact descriptions of non-Markovian quantum processes
• Non-Markovian Dissipative Semiclassical Dynamics
• Exact open quantum system dynamics using the Hierarchy of Pure States (HOPS)
• Removing instabilities in the hierarchical equations of motion: exact and approximate projection approaches
• Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems
• Deformation potential extraction and computationally efficient mobility calculations in silicon from first principles
• Universal level statistics of the out-of-time-ordered operator
• Reconciling scaling of the optical conductivity of cuprate superconductors with Planckian resistivity and specific heat
• Spin-reorientation-induced band gap in Fe${}_3$Sn${}_2$: Optical signatures of Weyl nodes
• Hierarchical equations for open system dynamics in fermionic and bosonic environments
• Rise and Fall of Landau's Quasiparticles While Approaching the Mott Transition
• Non-Markovian Quantum State Diffusion for Temperature-Dependent Linear Spectra of Light Harvesting Aggregates
• Quantum Lissajous Scars
• Exact propagation of open quantum systems in a system-reservoir context
• Bloch oscillations of bosonic lattice polarons
• Controllable quantum scars in semiconductor quantum dots
• Partition-free approach to open quantum systems in harmonic environments: an exact stochastic Liouville equation
• A quantum-classical decomposition of Gaussian quantum environments: a stochastic pseudomode model
• Certifying multi-mode light-matter interaction in lossy resonators
• Path Integral Molecular Dynamics for Exact Quantum Statistics of Multi-Electronic-State Systems
• Coherent charge carrier dynamics in the presence of thermal lattice vibrations
• A Variance Reduction Technique for the Stochastic Liouville-von Neuman Equation
• Nonadiabatic Field: A Conceptually Novel Approach for Nonadiabatic Quantum Molecular Dynamics
• Quantum-Acoustical Drude Peak Shift
• Quantum acoustics unravels Planckian resistivity
• Observation of dichotomic field-tunable electronic structure in twisted monolayer-bilayer graphene
• Schroedinger Correspondence Applied to Crystals
• Chaos-Assisted Dynamical Tunneling in Flat Band Superwires
• Simulating Non-Markovian Dynamics in Open Quantum Systems
• Low-energy tail of the spectral density for a particle interacting with a quantum phonon bath
• Tutorial: projector approach to master equations for open quantum systems
• Rise and Fall of Anderson Localization by Lattice Vibrations: A Time-Dependent Machine Learning Approach
• Twin-Space Representation of Classical Mapping Model in the Constraint Phase Space Representation: Numerically Exact Approach to Open Quantum Systems
• Polaron catastrophe within quantum acoustics
• Geometric Phase Effect in Thermodynamic Properties and in the Imaginary-Time Multi-Electronic-State Path Integral Formulation