Thermalization and disentanglement with a nonlinear Schrödinger equation

Eyal Buks

doi:10.1088/1751-8121/acb3a0

Thermalization and disentanglement with a nonlinear Schrödinger equation

Eyal Buks

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

We study a recently proposed modified Schrödinger equation having an added nonlinear term. For the case where a stochastic term is added to the Hamiltonian, the fluctuating response is found to resemble the process of thermalization. Disentanglement induced by the added nonlinear term is explored for a system made of two coupled spins. A butterfly-like effect is found near fully entangled states of the spin-spin system. A limit cycle solution is found when one of the spins is externally driven.

Original language	English
Article number	025302
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	56
Issue number	2
DOIs	https://doi.org/10.1088/1751-8121/acb3a0
State	Published - 13 Jan 2023

Keywords

disentanglements
quantum
thermalizations

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
General Physics and Astronomy
Statistics and Probability
Mathematical Physics
Modelling and Simulation

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10.1088/1751-8121/acb3a0

Cite this

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abstract = "We study a recently proposed modified Schr{\"o}dinger equation having an added nonlinear term. For the case where a stochastic term is added to the Hamiltonian, the fluctuating response is found to resemble the process of thermalization. Disentanglement induced by the added nonlinear term is explored for a system made of two coupled spins. A butterfly-like effect is found near fully entangled states of the spin-spin system. A limit cycle solution is found when one of the spins is externally driven.",

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AB - We study a recently proposed modified Schrödinger equation having an added nonlinear term. For the case where a stochastic term is added to the Hamiltonian, the fluctuating response is found to resemble the process of thermalization. Disentanglement induced by the added nonlinear term is explored for a system made of two coupled spins. A butterfly-like effect is found near fully entangled states of the spin-spin system. A limit cycle solution is found when one of the spins is externally driven.

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KW - thermalizations

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DO - 10.1088/1751-8121/acb3a0

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Thermalization and disentanglement with a nonlinear Schrödinger equation

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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