Driven-Dissipative Phase Transition in a Kerr Oscillator: From Semi-Classical PT Symmetry to Quantum Fluctuations.

dc.contributor.author

Zhang, Xin HH

dc.contributor.author

Baranger, Harold U

dc.date.accessioned

2023-01-14T14:12:03Z

dc.date.available

2023-01-14T14:12:03Z

dc.date.issued

2021-03-24

dc.date.updated

2023-01-14T14:12:02Z

dc.description.abstract

We study a minimal model that has a driven-dissipative quantum phase transition, namely a Kerr non-linear oscillator subject to driving and dissipation. Using mean-field theory, exact diagonalization, and the Keldysh formalism, we analyze the critical phenomena in this system, showing which aspects can be captured by each approach and how the approaches complement each other. Then critical scaling and finite-size scaling are calculated analytically using the quantum Langevin equation. The physics contained in this simple model is surprisingly rich: it includes a continuous phase transition, Z2 symmetry breaking, PT symmetry, state squeezing, and critical fluctuations. Due to its simplicity and solvability, this model can serve as a paradigm for exploration of open quantum many-body physics.

dc.identifier.issn

1050-2947

dc.identifier.issn

2469-9934

dc.identifier.uri

https://hdl.handle.net/10161/26448

dc.language

en

dc.publisher

American Physical Society

dc.relation.ispartof

Physical Review A

dc.relation.isversionof

10.1103/PhysRevA.103.033711

dc.subject

quant-ph

dc.subject

quant-ph

dc.subject

cond-mat.mes-hall

dc.title

Driven-Dissipative Phase Transition in a Kerr Oscillator: From Semi-Classical PT Symmetry to Quantum Fluctuations.

dc.type

Journal article

duke.contributor.orcid

Baranger, Harold U|0000-0002-1458-2756

pubs.begin-page

033711

pubs.end-page

033711

pubs.issue

3

pubs.organisational-group

Duke

pubs.organisational-group

Trinity College of Arts & Sciences

pubs.organisational-group

Physics

pubs.publication-status

Published

pubs.volume

103

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