Emergence of a Renormalized Expansion in Quenched Critical Many-Body Systems
arXiv:2010.08364 · doi:10.1103/PhysRevLett.126.110602
Abstract
We consider the fate of expansions in unstable many-body quantum systems, as realized by a quench across criticality, and show the emergence of as a renormalized parameter ruling the quantum-classical transition and accounting nonperturbatively for the local divergence rate of mean-field solutions. In terms of , quasiclassical expansions of paradigmatic examples of criticality, like the self-trapping transition in an integrable Bose-Hubbard dimer and the generic instability of attractive bosonic systems toward soliton formation, are pushed to arbitrarily high orders. The agreement with numerical simulations supports the general nature of our results in the appropriately combined long-time quasiclassical regime, out of reach of expansions in the bare parameter . For scrambling in many-body hyperbolic systems, our results provide formal grounds to a conjectured multiexponential form of out-of-time-ordered correlators.
arXiv commentImproved version that matches the version published in PRL
References in corpus (43)
- Decoherence, einselection, and the quantum origins of the classical
- Nonequilibrium dynamics of closed interacting quantum systems
- Formation of a Matter-Wave Bright Soliton
- Chaos and the Quantum Phase Transition in the Dicke Model
- Phase space representation of quantum dynamics
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Classical bifurcation at the transition from Rabi to Josephson dynamics
- Colloquium: Quantum interference of clusters and molecules
- The truncated Wigner method for Bose condensed gases: limits of validity and applications
- Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System
- Excited state quantum phase transitions in many-body systems
- Quantum quench dynamics
- Scrambling and thermalization in a diffusive quantum many-body system
- Scrambling and entanglement spreading in long-range spin chains
- Out-of-Time-Order Correlation at a Quantum Phase Transition
- Many-Body Chaos in the Sachdev-Ye-Kitaev Model
- Beyond mean-field dynamics in open Bose-Hubbard chains
- Correlations in a BEC collision: First-principles quantum dynamics with 150 000 atoms
- Collective modes, chaotic behavior and self-trapping in the dynamics of three coupled Bose-Einstein condensates
- Many-Body Quantum Interference and the Saturation of Out-of-Time-Order Correlators
- Bridging entanglement dynamics and chaos in semiclassical systems
- Quantum turbulence and correlations in Bose-Einstein condensate collisions
- Quantum Dynamics of Three Coupled Atomic Bose-Einstein Condensates
- Reversible quantum information spreading in many-body systems near criticality
- Macroscopic self trapping in BECs: analysis of a dynamical quantum phase transition
- On the relation between the magnitude and exponent of OTOCs
- Ground-state properties of the attractive one-dimensional Bose-Hubbard model
- Quantum criticality and dynamical instability in the kicked top
- Nonperturbative dynamical many-body theory of a Bose-Einstein condensate
- Semiclassical approach to Bose-Einstein condensates in a triple well potential
- Out-of-time-order Operators and the Butterfly Effect
- Symmetry Breaking and Enhanced Condensate Fraction in a Matter-Wave Bright Soliton
- Simultaneous Readout of Noncommuting Collective Spin Observables beyond the Standard Quantum Limit
- Semiclassical Identification of Periodic Orbits in a Quantum Many-Body System
- Diagnosing quantum chaos in many-body systems using entanglement as a resource
- A general approach to quantum mechanics as a statistical theory
- Decay and fragmentation in an open Bose-Hubbard chain
- Classical and quantum chaos in a three-mode bosonic system
- Bosonic transport through a chain of quantum dots
- Thermal and Quantum Phase Transitions in Atom-Field Systems: a Microcanonical Analysis
- Two-site Bose-Hubbard model with nonlinear tunneling: classical and quantum analysis
- Perturbation theory for quantum-mechanical observables
- Scrambling dynamics and many-body chaos in a random dipolar spin model