Exploring quantum signatures of chaos on a Floquet synthetic lattice
arXiv:1705.06714 · doi:10.1103/PhysRevA.100.013623
Abstract
Ergodicity and chaos play an integral role in the dynamical behavior of many-particle systems and are crucial to the formulation of statistical mechanics. Still, a general understanding of how randomness and chaos emerge in the dynamical evolution of closed quantum systems remains elusive. Here, we develop an experimental platform for the realization of canonical quantum chaotic Hamiltonians based on quantum simulation with synthetic lattices. We map the angular momentum projection states of an effective quantum spin onto the linear momentum states of a Rb Bose-Einstein condensate, which can alternatively be viewed as lattice sites in a synthetic dimension. This synthetic lattice, with local and dynamical control of tight-binding lattice parameters, enables new capabilities related to the experimental study of quantum chaos. In particular, the capabilities of our system let us tune the effective size of our spin, allowing us to illustrate how classical chaos can emerge from a discrete quantum system. Moreover, spectroscopic control over our synthetic lattice allows us to explore unique aspects of our spin's dynamics by measuring the out-of-time-ordered correlation function, and enables future investigations into entirely new classes of chaotic systems.
9 pages, 6 figures
References in corpus (8)
- Verified Quantum Information Scrambling
- Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System
- Exploring Localization in Nuclear Spin Chains
- Quantum Sampling Problems, BosonSampling and Quantum Supremacy
- Quantum Control of the Hyperfine Spin of a Cs Atom Ensemble
- Correlated dynamics in a synthetic lattice of momentum states
- Interacting atomic quantum fluids on momentum-space lattices
- Quantum simulation of disordered systems with cold atoms
Cited by in corpus (44)
- Verified Quantum Information Scrambling
- Verification of a many-ion simulator of the Dicke model through slow quenches across a phase transition
- Locality, Quantum Fluctuations, and Scrambling
- Dynamics of quantum information
- Accessing scrambling using matrix product operators
- Information Scrambling and Chaos in Open Quantum Systems
- Fast scrambling on sparse graphs
- Many-body quantum teleportation via operator spreading in the traversable wormhole protocol
- Quantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes
- The operator Lévy flight: light cones in chaotic long-range interacting systems
- Many-body quantum chaos in stroboscopically-driven cold atoms
- Fast scrambling without appealing to holographic duality
- Scrambling of Algebras in Open Quantum Systems
- Information scrambling at finite temperature in local quantum systems
- Detecting out-of-time-order correlations via quasi-adiabatic echoes as a tool to reveal quantum coherence in equilibrium quantum phase transitions
- Thermalization and chaos in QED
- Scrambling and Recovery of Quantum Information in Inhomogeneous Quenches in Two-dimensional Conformal Field Theories
- Artificial Neural Network Based Computation for Out-of-Time-Ordered Correlators
- Dynamical Scaling Laws of Out-of-Time-Ordered Correlators
- Multifractality in quasienergy space of coherent states as a signature of quantum chaos
- Electric fields for light: Propagation of microwave photons along a synthetic dimension
- Out-of-time-ordered correlation functions in open systems: A Feynman-Vernon influence functional approach
- Information scrambling at an impurity quantum critical point
- BROTOCs and Quantum Information Scrambling at Finite Temperature
- Entanglement in coupled kicked tops with chaotic dynamics
- Scrambling and operator entanglement in local non-Hermitian quantum systems
- Quantum simulation of operator spreading in the chaotic Ising model
- Superposition and higher-order spacing ratios in random matrix theory with application to complex systems
- Local operator quench induced by two-dimensional inhomogeneous and homogeneous CFT Hamiltonians
- Hydrodynamic theory of scrambling in chaotic long-range interacting systems
- Out-of-time-ordered measurements as a probe of quantum dynamics
- Characteristic, dynamic, and near saturation regions of Out-of-time-order correlation in Floquet Ising models
- Measuring out-of-time-ordered correlation functions with a single impurity qubit in a bosonic Josephson junction
- Experimental tests of Lieb-Robinson bounds
- Free Independence and the Noncrossing Partition Lattice in Dual-Unitary Quantum Circuits
- Chaos in a quantum rotor model
- Phase-transition-like behavior in information retrieval of a quantum scrambled random circuit system
- Faster entanglement driven by quantum resonance in many-body kicked rotors
- Quantum chaos in PT symmetric quantum systems
- Landau-Zener without a Qubit: Unveiling Multiphoton Interference, Synthetic Floquet Dimensions, and Dissipative Quantum Chaos
- Machine learning, quantum chaos, and pseudorandom evolution
- Directional scrambling of quantum information in helical multiferroics
- Study of double kicked top: a classical and quantum perspective
- Scrambling dynamics across a thermalization-localization quantum phase transition