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

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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