Out of Time Ordered Quantum Dissipation
arXiv:1811.01513 · doi:10.1007/JHEP07(2019)102
Abstract
We consider a quantum Brownian particle interacting with two harmonic baths, which is then perturbed by a cubic coupling linking the particle and the baths. This cubic coupling induces non-linear dissipation and noise terms in the influence functional/master equation of the particle. Its effect on the Out-of-Time-Ordered Correlators (OTOCs) of the particle cannot be captured by the conventional Feynman-Vernon formalism.We derive the generalised influence functional which correctly encodes the physics of OTO fluctuations, response, dissipation and decoherence. We examine an example where Markovian approximation is valid for the OTO dynamics. If the original cubic coupling has a definite time-reversal parity, the leading order OTO influence functional is completely determined by the couplings in the usual master equation via OTO generalisation of Onsager-Casimir relations. New OTO fluctuation-dissipation relations connect the non-Gaussianity of the thermal noise to the thermal jitter in the damping constant of the Brownian particle.
arXiv comment46 pages+appendices, typos corrected, minor changes, references updated
References in corpus (33)
- Cavity Optomechanics
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Schwinger-Keldysh Propagators from AdS/CFT Correspondence
- Measuring the scrambling of quantum information
- Measuring out-of-time-order correlators on a nuclear magnetic resonance quantum simulator
- Keldysh technique and non-linear sigma-model: basic principles and applications
- Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System
- Strong Coupling of a Single Electron in Silicon to a Microwave Photon
- Real-time gauge/gravity duality
- Observation of non-Markovian micro-mechanical Brownian motion
- Velocity-dependent Lyapunov exponents in many-body quantum, semi-classical, and classical chaos
- The thermodynamic cost of driving quantum systems by their boundaries
- Measurement of many-body chaos using a quantum clock
- Digital Quantum Simulation of Minimal AdS/CFT
- Observation of non-Markovian dynamics of a single quantum dot in a micropillar cavity
- Schwinger-Keldysh formalism I: BRST symmetries and superspace
- A Generalized Fluctuation-Dissipation Theorem for Nonlinear Response Functions
- Studying Light-Harvesting Models with Superconducting Circuits
- Path integral methods for the dynamics of stochastic and disordered systems
- Chaotic strings in AdS/CFT
- Light-cone spreading of perturbations and the butterfly effect in a classical spin chain
- Quasiclassical Equations of Motion for Nonlinear Brownian Systems
- Thermal out-of-time-order correlators, KMS relations, and spectral functions
- Classification of out-of-time-order correlators
- Interferometric Approach to Probing Fast Scrambling
- Out-of-time-order fluctuation-dissipation theorem
- Power law tails and non Markovian dynamics in open quantum systems: An exact solution from Keldysh field theory
- Retarded-Advanced N-point Green Functions in thermal field theories
- Spectral Representation of Thermal OTO Correlators
- n-point functions at finite temperature
- Entanglement robustness in Heisenberg spin chains coupled to dissipative environment at finite temperature
- Exact solutions of open integrable quantum spin chains
- The linear and nonlinear Jaynes-Cummings model for the multiphoton transition
Cited by in corpus (15)
- Open quantum systems and Schwinger-Keldysh holograms
- Nonlinear Langevin dynamics via holography
- Complexity from the Reduced Density Matrix: a new Diagnostic for Chaos
- The Generalized OTOC from Supersymmetric Quantum Mechanics: Study of Random Fluctuations from Eigenstate Representation of Correlation Functions
- The Cosmological OTOC: Formulating new cosmological micro-canonical correlation functions for random chaotic fluctuations in Out-of-Equilibrium Quantum Statistical Field Theory
- Spatio-temporal spread of perturbations in a driven dissipative Duffing chain: an OTOC approach
- Decoherence, Entanglement Negativity and Circuit Complexity for Open Quantum System
- Schwinger-Keldysh effective action for relativistic Brownian particle in AdS-CFT
- Open effective theory of scalar field in rotating plasma
- The Cosmological OTOC: A New Proposal for Quantifying Auto-Correlated Random Non-Chaotic Primordial Fluctuations
- Out of time ordered effective dynamics of a quartic oscillator
- Indirect detection of Cosmological Constant from interacting open quantum system
- A study of non-linear Langevin dynamics under non-Gaussian noise with quartic cumulant
- Cosmological Geometric Phase From Pure Quantum States: A study without/with having Bell's inequality violation
- Schwinger-Keldysh path integral formalism for a Quenched Quantum Inverted Oscillator