Monitoring approach to open quantum dynamics using scattering theory

Abstract

It is shown how S-matrix theory and the concept of continuous quantum measurements can be combined to yield Markovian master equations which describe the environmental interaction non-perturbatively. The method is then applied to obtain the master equation for the effects of a gas on the internal dynamics of an immobile complex quantum system, such as a trapped molecule, in terms of the exact multi-channel scattering amplitudes.

5 pages; published version

References in corpus (7)

• A simple model of quantum trajectories
• Quantum Trajectories and Quantum Measurement Theory
• Collisional decoherence reexamined
• Information Tradeoff Relations for Finite-Strength Quantum Measurements
• Master equation for a quantum particle in a gas
• Measurement master equation
• Completely Positive Bloch-Boltzmann Equations

Cited by in corpus (36)

• Quantum Decoherence
• Hund's paradox and the collisional stabilization of chiral molecules
• Quantum linear Boltzmann equation
• Introduction to decoherence theory
• Pre-Born-Oppenheimer Molecular Structure Theory
• Master equation approach to optomechanics with arbitrary dielectrics
• Nonequilibrium Dynamics with Finite-Time Repeated Interactions
• Spatio-Orientational Decoherence of Nanoparticles
• Monitoring derivation of the quantum linear Boltzmann equation
• Maxwell's lesser demon: a quantum engine driven by pointer measurements
• Non-Markovian dynamics for bipartite systems
• Phase covariant qubit dynamics and divisibility
• Quantum Angular Momentum Diffusion of Rigid Bodies
• Spin-orbit interactions and quantum spin dynamics in cold ion-atom collisions
• The collisional frequency shift of a trapped-ion optical clock
• Thermalization induced by quantum scattering
• Relaxation dynamics of a quantum Brownian particle in an ideal gas
• Quantum master equation for collisional dynamics of massive particles with internal degrees of freedom
• Collisional decoherence of polar molecules
• Quantum master equations for a system interacting with quantum gas in the low density limit and for the semiclassical collision model
• Rotational Alignment Decay and Decoherence of Molecular Superrotors
• Quantum scattering as a work source
• Collisional decoherence of internal state superpositions in a trapped ultracold gas
• Orientational decoherence within molecules and emergence of the molecular shape
• Emergence of Molecular Chirality by Vibrational Raman Scattering
• Consistent histories for tunneling molecules subject to collisional decoherence
• Two-point measurement energy statistics from particle scattering
• A Monte Carlo Method for Modeling Thermal Damping: Beyond the Brownian-Motion Master Equation
• Stochastic simulation algorithm for the quantum linear Boltzmann equation
• Decoherence: From Interpretation to Experiment
• A perturbative algorithm for rotational decoherence
• Comment on "Quantum linear Boltzmann equation with finite intercollision time"
• Perturbative Treatment of Quantum to Classical Transition in Chiral Molecules: Dilute Phase vs. Condensed Phase
• Strong causality from weak via continuous monitoring
• Transverse quantum decoherence of a fast particle in a gas
• Surface-induced decoherence and heating of charged particles