Entanglement production in coupled chaotic systems : Case of the Kicked Tops
arXiv:quant-ph/0307134 · doi:10.1103/PhysRevE.69.016201
Abstract
Entanglement production in coupled chaotic systems is studied with the help of kicked tops. Deriving the correct classical map, we have used the reduced Husimi function, the Husimi function of the reduced density matrix, to visualize the possible behaviors of a wavepacket. We have studied a phase space based measure of the complexity of a state and used random matrix theory (RMT) to model the strongly chaotic cases. Extensive numerical studies have been done for the entanglement production in coupled kicked tops corresponding to different underlying classical dynamics and different coupling strengths. An approximate formula, based on RMT, is derived for the entanglement production in coupled strongly chaotic systems. This formula, applicable for arbitrary coupling strengths and also valid for long time, complements and extends significantly recent perturbation theories for strongly chaotic weakly coupled systems.
arXiv comment27 pages, 15 figures, revtex4 ; Modified title, minor corrections and few references added ; Version as to appear in Phys. Rev. E
References in corpus (26)
- Decoherence, einselection, and the quantum origins of the classical
- Decoherence, Chaos, and the Second Law
- Quantum Chaos Border for Quantum Computing
- Testing statistical bounds on entanglement using quantum chaos
- Entangling power of quantized chaotic systems
- Quantum chaos: a decoherent definition.
- Dynamical aspects of quantum entanglement for weakly coupled kicked tops
- Entangling power of the quantum baker's map
- Emergence of Quantum Chaos in Quantum Computer Core and How to Manage It
- Exponential Gain in Quantum Computing of Quantum Chaos and Localization
- Lyapunov exponents, entropy production and decoherence
- Decoherence and the rate of entropy production in chaotic quantum systems
- Saturation of the production of quantum entanglement between weakly coupled mapping systems in strongly chaotic region
- Second moment of the Husimi distribution as a measure of complexity of quantum states
- Recoherence in the entanglement dynamics and classical orbits in the N-atom Jaynes-Cummings model
- Chaos and Lyapunov exponents in classical and quantal distribution dynamics
- Decoherence for classically chaotic quantum maps
- Exponentially rapid decoherence of quantum chaotic systems
- Entanglement versus relaxation and decoherence in a quantum algorithm for quantum chaos
- Parameter scaling in the decoherent quantum-classical transition for chaotic systems
- Decoherence in a classically chaotic quantum system: entropy production and quantum--classical correspondence
- Entropy production, dynamical localization and criteria for quantum chaos in the open quantum kicked rotor
- Quantum Chaos and Quantum Algorithms
- Limits to error correction in quantum chaos
- Evolution of Liouville density of a chaotic system
- Entropy production due to coupling to a heat bath in the kicked rotor problem
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- Multipartite Entanglement in a One-Dimensional Time Dependent Ising Model
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- Quantum Chaos, Delocalization, and Entanglement in Disordered Heisenberg Models
- Quantum ergodicity and entanglement in kicked coupled-tops
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- Distinguishability of generic quantum states
- NMR studies of quantum chaos in a two-qubit kicked top
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- Quantum signatures of chaos, thermalization and tunneling in the exactly solvable few body kicked top
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- Dynamical entanglement and chaos: the case of Rydberg molecules
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- Classical Dynamics of Quantum Entanglement
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- Out-of-time-ordered correlators and the Loschmidt echo in the quantum kicked top: How low can we go?
- Eigenstate entanglement between quantum chaotic subsystems: universal transitions and power laws in the entanglement spectrum
- Matrix Element Distribution as a Signature of Entanglement Generation
- Classical bifurcations and entanglement in smooth Hamiltonian system
- Smallest eigenvalue density for regular or fixed-trace complex Wishart-Laguerre ensemble and entanglement in coupled kicked tops
- Wishart and random density matrices: Analytical results for the mean-square Hilbert-Schmidt distance
- Quantum-classical correspondence in entanglement production: Entropy and classical tori
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- Entanglement in coupled kicked tops with chaotic dynamics
- Entangling power of baker's map: Role of symmetries
- Impurity induced quantum chaos for an ultracold bosonic ensemble in a double-well
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- Entanglement production by interaction quenches of quantum chaotic subsystems
- Quantum walks with quantum chaotic coins: Of the Loschmidt echo, classical limit and thermalization
- An analytical relation between entropy production and quantum Lyapunov exponents for Gaussian bipartite systems
- Quantum coherence controls the nature of equilibration in coupled chaotic systems
- Statistical bounds on the dynamical production of entanglement
- Random density matrices: Analytical results for mean root fidelity and mean square Bures distance
- Transition from order to chaos in reduced quantum dynamics
- Universality in Dynamical Formation of Entanglement for Quantum Chaos
- Quantum tomography with random diagonal unitary maps and statistical bounds on information generation using random matrix theory
- Random density matrices: Analytical results for mean fidelity and variance of squared Bures distance
- Chaos and localized phases in a two-body linear kicked rotor system
- Out-of-Time Ordered Correlators in Kicked Coupled Tops: Information Scrambling in Mixed Phase Space and the Role of Conserved Quantities
- Exactly solvable dynamics and signatures of integrability in an infinite-range many-body Floquet spin system
- Quantum Chaos: Reduced Density Matrix Fluctuations in Coupled Systems
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- The failure of semiclassical approach in the dissipative fully-connected Ising model
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- Fast Bit-Flipping based on a Stability Transition of Coupled Spins
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- Interscale entanglement production in a quantum system simulating classical chaos
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