The Timescales of Quantum Breaking
arXiv:2306.09410 · doi:10.1002/prop.202300163
Abstract
Due to the inevitable existence of quantum effects, a classical description generically breaks down after a finite quantum break-time . We aim to find criteria for determining . To this end, we construct a new prototype model that features numerous dynamically accessible quantum modes. Using explicit numerical time evolution, we establish how depends on the parameters of the system such as its particle number . The presence of a classical instability leads to or . In the stable case, we observe , although full quantum breaking may not take place at all. We find that the different regimes merge smoothly with (). As an outlook, we point out possibilities for transferring our results to black holes and expanding spacetimes.
62 pages, 20 figures, 5 appendices; v2: minor improvements, matches published version
References in corpus (114)
- A bound on chaos
- Comments on the Sachdev-Ye-Kitaev model
- Spinor Bose Condensates in Optical Traps
- Black holes and the butterfly effect
- Black Holes: Complementarity or Firewalls?
- Black holes as mirrors: quantum information in random subsystems
- Information in Black Hole Radiation
- Analogue Gravity
- Fast Scramblers
- Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
- Spinor Bose-Einstein condensates
- A Strongly Dipolar Bose-Einstein Condensate of Dysprosium
- Bose-Einstein Condensation of Erbium
- Acoustic black holes: horizons, ergospheres, and Hawking radiation
- Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
- Exact and Approximate Unitary 2-Designs: Constructions and Applications
- Measurement of stimulated Hawking emission in an analogue system
- Towards the fast scrambling conjecture
- Black Holes and Large N Species Solution to the Hierarchy Problem
- Hawking radiation from ultrashort laser pulse filaments
- Realization of a sonic black hole analogue in a Bose-Einstein condensate
- Extended slow dynamical regime close to the many-body localization transition
- The Ergodic Side of the Many-Body Localization Transition
- Black Hole Bound on the Number of Species and Quantum Gravity at LHC
- Sonic black holes in dilute Bose-Einstein condensates
- The Trouble with de Sitter Space
- Universal Charge Diffusion and the Butterfly Effect
- Gibbons-Hawking Effect in the Sonic de Sitter Space-Time of an Expanding Bose-Einstein-Condensed Gas
- Stationary solutions of the one-dimensional nonlinear Schroedinger equation: II. Case of attractive nonlinearity
- Scrambling and thermalization in a diffusive quantum many-body system
- Solvable model for a dynamical quantum phase transition from fast to slow scrambling
- Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves
- Quantum Compositeness of Gravity: Black Holes, AdS and Inflation
- Nearly-linear light cones in long-range interacting quantum systems
- Black Hole's 1/N Hair
- Scrambling and entanglement spreading in long-range spin chains
- Power-law out of time order correlation functions in the SYK model
- Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems
- Quantum simulation of cosmic inflation in two-component Bose-Einstein condensates
- Information propagation in isolated quantum systems
- Out-of-time-order correlations in many-body localized and thermal phases
- A Measure of de Sitter Entropy and Eternal Inflation
- Weak Quantum Chaos
- "Cosmological" quasiparticle production in harmonically trapped superfluid gases
- Quantum chaos on a critical Fermi surface
- Quantum Simulation of Coherent Hawking-Unruh Radiation
- Quantum Break-Time of de Sitter
- Quantum phase transition in one-dimensional Bose-Einstein condensates with attractive interactions
- Onset of many-body chaos in the model
- Out-of-Time-Order Correlation at a Quantum Phase Transition
- Towards the observation of Hawking radiation in Bose--Einstein condensates
- Black Hole Metamorphosis and Stabilization by Memory Burden
- Quantum field simulator for dynamics in curved spacetime
- Characterizing Many-Body Localization by Out-of-Time-Ordered Correlation
- Many-Body Quantum Interference and the Saturation of Out-of-Time-Order Correlators
- Out-of-time-ordered density correlators in Luttinger liquids
- Scrambling in the Black Hole Portrait
- Analogue cosmological particle creation in an ultracold quantum fluid of light
- Quantum chaos in the Brownian SYK model with large finite : OTOCs and tripartite information
- Quantum Information and Gravity Cutoff in Theories with Species
- Reversible quantum information spreading in many-body systems near criticality
- Treelike interactions and fast scrambling with cold atoms
- Analogue models for FRW cosmologies
- Particle pair creation by inflation of quantum vacuum fluctuations in an ion trap
- Exact ground state of finite Bose-Einstein condensates on a ring
- Minimal Model for Fast Scrambling
- Entropy Bound and Unitarity of Scattering Amplitudes
- Symmetry Breaking and Enhanced Condensate Fraction in a Matter-Wave Bright Soliton
- Quantum chaos dynamics in long-range power law interaction systems
- Entanglement production and information scrambling in a noisy spin system
- Metastable Quantum Phase Transitions in a Periodic One-dimensional Bose Gas: Mean-Field and Bogoliubov Analyses
- Absence of fast scrambling in thermodynamically stable long-range interacting systems
- Aspects of Cosmic Inflation in Expanding Bose-Einstein Condensates
- The operator Lévy flight: light cones in chaotic long-range interacting systems
- Exact out-of-time-ordered correlation functions for an interacting lattice fermion model
- Emergent locality in systems with power-law interactions
- Black Holes and Quantumness on Macroscopic Scales
- A cavity-QED simulator of slow and fast scrambling
- Classicality and Quantum Break-Time for Cosmic Axions
- Semiclassical roots of universality in many-body quantum chaos
- Critical fluctuations in a soliton formation of attractive Bose-Einstein condensates
- Energy diffusion in the ergodic phase of a many body localizable spin chain
- How periodic driving heats a disordered quantum spin chain
- Classical and quantum chaos in a three-mode bosonic system
- Fast scrambling without appealing to holographic duality
- Nambu-Goldstone Effective Theory of Information at Quantum Criticality
- Excitation spectrum of bosons in a finite one-dimensional circular waveguide via the Bethe ansatz
- Bound on quantum scrambling with all-to-all interactions
- Lieb Robinson bounds and out of time order correlators in a long range spin chain
- Universe's Primordial Quantum Memories
- Miracles and complementarity in de Sitter space
- Local correlations in the attractive 1D Bose gas: from Bethe ansatz to the Gross-Pitaevskii equation
- Analog model for an expanding universe
- Quasi-extremal primordial black holes are a viable dark matter candidate
- Black Holes as Brains: Neural Networks with Area Law Entropy
- Area Law Micro-State Entropy from Criticality and Spherical Symmetry
- Finding Critical States of Enhanced Memory Capacity in Attractive Cold Bosons
- On Corpuscular Theory of Inflation
- How Special Are Black Holes? Correspondence with saturons in generic theories
- Disorder-free localization with Stark gauge protection
- Large-N ground state of the Lieb-Liniger model and Yang-Mills theory on a two-sphere
- On Evolution of Coherent States as Quantum Counterpart of Classical Dynamics
- Perturbative Understanding of Non-Perturbative Processes and Quantumization versus Classicalization
- Few-Photon Scattering in Dispersive Waveguides with Multiple Qubits
- Background Field Method and Initial-Time Singularity for Coherent States
- Breaking BEC: Quantum evolution of unstable condensates
- Black Hole Based Quantum Computing in Labs and in the Sky
- Breaking BEC
- Mimicking inflation with 2-fluid systems in a strong gradient magnetic field
- Information Scrambling and the Correspondence of Entanglement- and Operator Dynamics in Systems with Nonlocal Interactions
- : A Program for Time Evolution With Improved Error Bound
- Emergence of a Renormalized Expansion in Quenched Critical Many-Body Systems
- Fast Pre-scramblers
- Information scrambling of the dilute Bose gas at low temperature
Cited by in corpus (11)
- Breakdown of Hawking Evaporation opens new Mass Window for Primordial Black Holes as Dark Matter Candidate
- Quantum effects on the evaporation of PBHs: contributions to dark matter
- Ultralight Black Holes as Sources of High-Energy Particles
- Coupling Metric-Affine Gravity to the Standard Model and Dark Matter Fermions
- Induced Gravitational Waves probing Primordial Black Hole Dark Matter with Memory Burden
- Beyond Hawking evaporation of black holes formed by dark matter in compact stars
- Quantum loop corrections in the modified gravity model of Starobinsky inflation with primordial black hole production
- Can a Breakdown of Hawking Evaporation Open a New Mass Window for Primordial Black Holes as Dark Matter?
- Improved model of large-field inflation with primordial black hole production in Starobinsky-like supergravity
- Semiclassical Backreaction: A Qualitative Assessment
- Evolution of a kink-antikink ensemble in a quantum vacuum