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research article

Dissipative phase transitions in n-photon driven quantum nonlinear resonators

Minganti, Fabrizio  
•
Savona, Vincenzo  
•
Biella, Alberto
November 7, 2023
Quantum

We investigate and characterize the emergence of finite-component dissipative phase transitions (DPTs) in nonlinear photon resonators subject to n-photon driving and dissipation. Exploiting a semiclassical approach, we derive general results on the occurrence of second-order DPTs in this class of systems. We show that for all odd n, no second-order DPT can occur while, for even n, the competition between higher-order nonlinearities determines the nature of the criticality and allows for second-order DPTs to emerge only for n = 2 and n = 4. As pivotal examples, we study the full quantum dynamics of three-and four-photon driven-dissipative Kerr resonators, confirming the prediction of the semiclassical analysis on the nature of the transitions. The stability of the vacuum and the typical timescales needed to access the different phases are also discussed. We also show a first-order DPT where multiple solutions emerge around zero, low, and high-photon numbers. Our results highlight the crucial role played by strong and weak symmetries in triggering critical behaviors, providing a Liouvillian framework to study the effects of high-order nonlinear processes in driven-dissipative systems, that can be applied to problems in quantum sensing and information processing.

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Type
research article
DOI
10.22331/q-2023-11-07-1170
Web of Science ID

WOS:001121010900001

Author(s)
Minganti, Fabrizio  
•
Savona, Vincenzo  
•
Biella, Alberto
Date Issued

2023-11-07

Publisher

Verein Forderung Open Access Publizierens Quantenwissenschaf

Published in
Quantum
Volume

7

Article Number

1170

Subjects

Physical Sciences

•

State

Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LTPN  
FunderGrant Number

MUR

PRIN2022

Available on Infoscience
February 20, 2024
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/204565
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