Generating Entanglement by Quantum Resetting
- URL: http://arxiv.org/abs/2307.07485v2
- Date: Mon, 24 Jul 2023 13:20:11 GMT
- Title: Generating Entanglement by Quantum Resetting
- Authors: Manas Kulkarni, Satya N. Majumdar
- Abstract summary: We consider a closed quantum system subjected to Poissonian resetting with rate $r$ to its initial state.
We show that quantum resetting provides a simple and effective mechanism to enhance entanglement between two parts of an interacting quantum system.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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 $\mid\downarrow\downarrow
\rangle$ 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.
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