Measure synchronization in quantum many-body systems

Abstract

The concept of measure synchronization between two coupled quantum many-body systems is presented. In general terms we consider two quantum many-body systems whose dynamics gets coupled through the contact particle-particle interaction. This coupling is shown to produce measure synchronization, a generalization of synchrony to a large class of systems which takes place in absence of dissipation. We find that in quantum measure synchronization, the many-body quantum properties for the two subsystems, e.g. condensed fractions and particle fluctuations, behave in a coordinated way. To illustrate the concept we consider a simple case of two species of bosons occupying two distinct quantum states. Measure synchronization can be readily explored with state-of-the-art techniques in ultracold atomic gases and, if propertly controlled, be employed to share quantum correlations between different degrees of freedom.

8 pages, 7 figures

References in corpus (32)

• Many-Body Physics with Ultracold Gases
• Synchronization in complex networks
• Quantum fluids of light
• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
• Nonlinear atom interferometer surpasses classical precision limit
• Atom chip based generation of entanglement for quantum metrology
• Squeezing and entanglement in a Bose-Einstein condensate
• Twin matter waves for interferometry beyond the classical limit
• Double species condensate with tunable interspecies interactions
• Classical bifurcation at the transition from Rabi to Josephson dynamics
• Macroscopic quantum self-trapping and Josephson oscillations of exciton-polaritons
• Measures of quantum synchronization in continuous variable systems
• Fragmentation of Bose-Einstein Condensates
• Integrated Mach-Zehnder interferometer for Bose-Einstein condensates
• Dual-Species Bose-Einstein Condensate of ${}^{87}$Rb and ${}^{133}$Cs
• A surface-patterned chip as a strong source of ultra-cold atoms for quantum technologies
• Synchronization, quantum correlations and entanglement in oscillator networks
• Observation of Heteronuclear Feshbach Molecules from a ${}^{85}$Rb - ${}^{87}$Rb gas
• Quantum correlations and mutual synchronization
• Dynamics, Synchronization and Quantum Phase Transitions of Two Dissipative Spins
• Quantum synchronization and entanglement of two qubits coupled to a driven dissipative resonator
• Macroscopic self trapping in BECs: analysis of a dynamical quantum phase transition
• Symmetry-Breaking and Symmetry-Restoring Dynamics of a Mixture of Bose-Einstein Condensates in a Double Well
• Josephson Effect in BEC with Spin Degree of Freedom
• Josephson oscillations in binary mixtures of F=1 spinor BECs
• Quantum-classical transition of correlations of two coupled cavities
• Weakly linked binary mixtures of F=1 87-Rb Bose-Einstein condensates
• Measure synchronization in a two-species bosonic Josephson junction
• Coherently controlled entanglement generation in a binary Bose-Einstein condensate
• Nonlinear quantum model for atomic Josephson junctions with one and two bosonic species
• Quantum Bose Josephson Junction with binary mixtures of BECs

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• Hybrid synchronization in coupled ultracold atomic gases
• Quantum properties of a binary bosonic mixture in a double well
• Quantum counterpart of Measure synchronization: A study on a pair of Harper systems
• Classical route to ergodicity and scarring phenomena in a two-component Bose-Josephson junction
• Occasional uncoupling overcomes measure desynchronization
• Quench-induced dynamical phase transitions and $\pi$-synchronization in the Bose-Hubbard Model
• Measure synchronization in interacting Hamiltonian systems: A brief review
• Comprehending deterministic and stochastic occasional uncoupling induced synchronizations through each other
• Synchronization of Networked Jahn-Teller Systems in Circuit QED
• Quantum synchronization of qubits via dynamical Casimir effect
• Expectation Synchronization Synthesis in Non-Markovian Open Quantum Systems
• Coherently synchronized oscillations in many-body localization
• Synchronization Strategies for Multi-agent Networked Control Systems