Generating Entanglement by Quantum Resetting

Abstract

We consider a closed quantum system subjected to stochastic Poissonian resetting with rate $r$ to its initial state. Resetting drives the system to a nonequilibrium stationary state (NESS) with a mixed density matrix which has both classical and quantum correlations. We provide a general framework to study these NESS correlations for a closed quantum system with a general Hamiltonian $H$. We then apply this framework to a simple model of a pair of ferromagnetically coupled spins, starting from state $\mid \downarrow \downarrow ⟩$ and resetting to the same state with rate $r$. We compute exactly the NESS density matrix of the full system. This then provides access to three basic observables, namely (i) the von Neumann entropy of a subsystem (ii) the fidelity between the NESS and the initial density matrix and (iii) the concurrence in the NESS (that provides a measure of the quantum entanglement in a mixed state), as a function of the two parameters: the resetting rate and the interaction strength. One of our main conclusions is that a nonzero resetting rate and a nonzero interaction strength generates quantum entanglement in the NESS (quantified by a nonzero concurrence) and moreover this concurrence can be maximized by appropriately choosing the two parameters. Our results show that quantum resetting provides a simple and effective mechanism to enhance entanglement between two parts of an interacting quantum system.

arXiv comment15 pages, 7 figures, additional results and clarifications added in the revised version

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• Manipulating phases in many-body interacting systems with subsystem resetting
• Dynamically emergent correlations in Brownian particles subject to simultaneous non-Poissonian resetting protocols
• Control of spatiotemporal chaos by stochastic resetting
• Entropy Production of Quantum Reset Models
• Topological Defects from Quantum Reset Dynamics
• Exact fluctuation and long-range correlations in a single-file model under resetting
• Optimal detection of quantum states via projective measurements