Verifying the upper bound on the speed of scrambling with the analogue Hawking radiation of trapped ions
arXiv:2007.05949 · doi:10.1140/epjc/s10052-022-10149-8
Abstract
A general bound on the Lyapunov exponent of a quantum system is given by , where is the system temperature, as established by Maldacena, Shenker, and Stanford (MSS). This upper bound is saturated when the system under consideration is the exact holographic dual of a black hole. It has also been shown that an inverted harmonic oscillator (IHO) may exhibit the behavior of thermal energy emission, in close analogy to the Hawking radiation emitted by black holes. We demonstrate that the Lyapunov exponent of the IHO indeed saturates the MSS bound, with an effective temperature equal to the analogue black hole radiation temperature, and propose using a trapped ion as a physical implementation of the IHO. We derive the corresponding out-of-time-ordered correlation function (OTOC) diagnosing quantum chaos, and theoretically show, for an experimentally realizable setup, that the effective temperature of the trapped-ion-IHO matches the upper MSS bound for the speed of scrambling.
arXiv comment7 pages of RevTex4-1, 3 figures
References in corpus (61)
- The Large N Limit of Superconformal Field Theories and Supergravity
- Quantum information with continuous variables
- Chaos and Quantum Thermalization
- Microscopic Origin of the Bekenstein-Hawking Entropy
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- A bound on chaos
- Hawking Radiation as Tunneling
- Black holes and the butterfly effect
- Fast Scramblers
- Supergravity and The Large N Limit of Theories With Sixteen Supercharges
- Fiber-optical analogue of the event horizon
- Quantum simulation of the Dirac equation
- Sonic analog of gravitational black holes in Bose-Einstein condensates
- Observation of quantum Hawking radiation and its entanglement in an analogue black hole
- Realization of a quantum walk with one and two trapped ions
- Relationship between Hawking Radiation and Gravitational Anomalies
- Quantum information with Gaussian states
- Observation of self-amplifying Hawking radiation in an analog black hole laser
- Observation of thermal Hawking radiation at the Hawking temperature in an analogue black hole
- Hawking radiation from ultrashort laser pulse filaments
- Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
- Numerical observation of Hawking radiation from acoustic black holes in atomic Bose-Einstein condensates
- Hawking Radiation from Charged Black Holes via Gauge and Gravitational Anomalies
- Gibbons-Hawking Effect in the Sonic de Sitter Space-Time of an Expanding Bose-Einstein-Condensed Gas
- Observation of Stimulated Hawking Radiation in Optics
- Quantum simulation of the Klein paradox with trapped ions
- Probing semiclassical analogue gravity in Bose--Einstein condensates with widely tunable interactions
- Quantum simulation of cosmic inflation in two-component Bose-Einstein condensates
- "Cosmological" quasiparticle production in harmonically trapped superfluid gases
- Analogue Hawking Radiation in a dc-SQUID Array Transmission Line
- Bounds on chaos from the eigenstate thermalization hypothesis
- Chaos and Complexity in Quantum Mechanics
- Klein tunneling and Dirac potentials in trapped ions
- TASI lectures on black holes in string theory
- Analogue of cosmological particle creation in an ion trap
- Particle pair creation by inflation of quantum vacuum fluctuations in an ion trap
- Experimental demonstration of a technique to generate arbitrary quantum superposition states
- Probing the scale invariance of the inflationary power spectrum in expanding quasi-two-dimensional dipolar condensates
- Magnonic black holes
- Departing from thermality of analogue Hawking radiation in a Bose-Einstein condensate
- The Black Hole S-Matrix from Quantum Mechanics
- Quantum signature of analog Hawking radiation in momentum space
- Quasinormal Modes and Hawking-Unruh effect in Quantum Hall Systems: Lessons from Black Hole Phenomena
- Control of trapped-ion quantum states with optical pulses
- Thermal Emission from Semi-classical Dynamical Systems
- Dirac Equation in (1+1)-Dimensional Curved Spacetime and the Multiphoton Quantum Rabi Model
- Analog cosmological particle generation in a superconducting circuit
- Bound on the exponential growth rate of out-of-time-ordered correlators
- Phonon spectrum and correlations in a transonic flow of an atomic Bose gas
- Flux-vacua in Two Dimensional String Theory
- Understanding Hawking radiation in the framework of open quantum systems
- Horizon induces instability locally and creates quantum thermality
- Near horizon local instability and quantum thermality
- Simulating quantum effects of cosmological expansion using a static ion trap
- Spin-wave amplification and lasing driven by inhomogeneous spin transfer torques
- Quantum simulation of traversable wormhole spacetimes in a dc-SQUID array
- Analogue Hawking Radiation and Sine-Gordon Soliton in a Superconducting Circuit
- The quantum regression theorem for out-of-time-ordered correlation functions
- Scheme and Experimental Demonstration of Fully Atomic Weak Value Amplification
- Analog of cosmological particle creation in electromagnetic waveguides
- Quantum sine-Gordon dynamics on analogue curved spacetime in a weakly imperfect scalar Bose gas
Cited by in corpus (29)
- Quantum Dynamics in Krylov Space: Methods and Applications
- Probing Lorentz-Invariance-Violation Induced Nonthermal Unruh Effect in Quasi-Two-Dimensional Dipolar Condensates
- Simulation of the massless Dirac field in 1+1D curved spacetime
- Gaussian tripartite steering in Schwarzschild black hole
- Out-of-time-order correlator in the quantum Rabi model
- Observation of anomalous information scrambling in a Rydberg atom array
- Quantum chaos in supersymmetric quantum mechanics: an exact diagonalization study
- Bound on Lyapunov exponent in Einstein-Maxwell-Dilaton-Axion black holes
- Genuine tripartite entanglement of W state subject to Hawking effect of a Schwarzschild black hole
- Direct Characteristic-Function Tomography of the Quantum States of Quantum Fields
- Near-horizon chaos beyond Einstein gravity
- Quantum information scrambling in two-dimensional Bose-Hubbard lattices
- Optimally scrambling chiral spin-chain with effective black hole geometry
- Vortices without inflow: bound spectra in horizonless rotational analogs
- Motions of spinning particles and chaos bound in Reissner-Nordström spacetime
- Quantum instability and Ehrenfest time for an inverted harmonic oscillator
- Transient and steady-state chaos in dissipative quantum systems
- Simulating superluminal propagation of Dirac particles using trapped ions
- Smart Holes: Analogue black holes with the right temperature and entropy
- Quantum Chaos in Non-Markovian Open Quantum Systems: Interferometric OTOC, Loschmidt Echo and Commutator Operator Norm
- Anatomy of information scrambling and decoherence in the integrable Sachdev-Ye-Kitaev model
- Signatures of quantum chaos and complexity in the Ising model on random graphs
- Out-of-time-order correlator computation based on discrete truncated Wigner approximation
- Holographic superfluid sound modes with bulk acoustic black hole
- Scrambling time for analogue black holes embedded in AdS space
- Self-Similar acoustic white hole solutions in Bose-Einstein condensates and their Borel analysis
- Analogue Black Holes in Reactive Molecules
- Acoustic black holes, white holes, and wormholes in Bose-Einstein condensates in two dimensions
- Interferometric and Bipartite OTOC for Non-Markovian Open Quantum Spin-Chains and Lipkin-Meshkov-Glick Model