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Title: Nonequilibrium Fixed Points of Coupled Ising Models

Authors:
ORCiD logo; ; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1601064
Grant/Contract Number:  
[SC0019449; SC0019040]
Resource Type:
Published Article
Journal Name:
Physical Review. X
Additional Journal Information:
[Journal Name: Physical Review. X Journal Volume: 10 Journal Issue: 1]; Journal ID: ISSN 2160-3308
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Young, Jeremy T., Gorshkov, Alexey V., Foss-Feig, Michael, and Maghrebi, Mohammad F. Nonequilibrium Fixed Points of Coupled Ising Models. United States: N. p., 2020. Web. doi:10.1103/PhysRevX.10.011039.
Young, Jeremy T., Gorshkov, Alexey V., Foss-Feig, Michael, & Maghrebi, Mohammad F. Nonequilibrium Fixed Points of Coupled Ising Models. United States. doi:10.1103/PhysRevX.10.011039.
Young, Jeremy T., Gorshkov, Alexey V., Foss-Feig, Michael, and Maghrebi, Mohammad F. Wed . "Nonequilibrium Fixed Points of Coupled Ising Models". United States. doi:10.1103/PhysRevX.10.011039.
@article{osti_1601064,
title = {Nonequilibrium Fixed Points of Coupled Ising Models},
author = {Young, Jeremy T. and Gorshkov, Alexey V. and Foss-Feig, Michael and Maghrebi, Mohammad F.},
abstractNote = {},
doi = {10.1103/PhysRevX.10.011039},
journal = {Physical Review. X},
number = [1],
volume = [10],
place = {United States},
year = {2020},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevX.10.011039

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Works referenced in this record:

Critical behaviour of the non-equilibrium Ising model with locally competing temperatures
journal, October 1989


Tuneable hopping and nonlinear cross-Kerr interactions in a high-coherence superconducting circuit
journal, August 2018


Nonperturbative dynamical effects in nearly-scale-invariant systems: The action of breaking scale invariance
journal, July 2018


Quantum many-body phenomena in coupled cavity arrays
journal, December 2008

  • Hartmann, M. J.; Brandão, F. G. S. L.; Plenio, M. B.
  • Laser & Photonics Review, Vol. 2, Issue 6
  • DOI: 10.1002/lpor.200810046

Mean field and ε -expansion study of spin glasses
journal, September 1977


Bicritical and tetracritical points in anisotropic antiferromagnetic systems
journal, January 1976

  • Kosterlitz, J. M.; Nelson, David R.; Fisher, Michael E.
  • Physical Review B, Vol. 13, Issue 1
  • DOI: 10.1103/PhysRevB.13.412

Nonequilibrium many-body steady states via Keldysh formalism
journal, January 2016


Attractive photons in a quantum nonlinear medium
journal, September 2013

  • Firstenberg, Ofer; Peyronel, Thibault; Liang, Qi-Yu
  • Nature, Vol. 502, Issue 7469
  • DOI: 10.1038/nature12512

Nonequilibrium Quantum Condensation in an Incoherently Pumped Dissipative System
journal, June 2006


Exploiting Kerr cross nonlinearity in circuit quantum electrodynamics for nondemolition measurements
journal, July 2010


Long-Range Correlations in Stationary Nonequilibrium Systems with Conservative Anisotropic Dynamics
journal, March 1991


Quantum phases from competing short- and long-range interactions in an optical lattice
journal, April 2016

  • Landig, Renate; Hruby, Lorenz; Dogra, Nishant
  • Nature, Vol. 532, Issue 7600
  • DOI: 10.1038/nature17409

Algebraic order and the Berezinskii-Kosterlitz-Thouless transition in an exciton-polariton gas
journal, November 2014


Supersolid formation in a quantum gas breaking a continuous translational symmetry
journal, March 2017

  • Léonard, Julian; Morales, Andrea; Zupancic, Philip
  • Nature, Vol. 543, Issue 7643
  • DOI: 10.1038/nature21067

Antiferromagnetic phase transition in a nonequilibrium lattice of Rydberg atoms
journal, September 2011


Critical slowing down in driven-dissipative Bose-Hubbard lattices
journal, January 2018


Coupled order parameters, symmetry-breaking irrelevant scaling fields, and tetracritical points
journal, January 1975


Twenty Five Years After KLS: A Celebration of Non-equilibrium Statistical Mechanics
journal, December 2009


Long-range correlations for conservative dynamics
journal, August 1990

  • Garrido, Pedro L.; Lebowitz, Joel L.; Maes, Christian
  • Physical Review A, Vol. 42, Issue 4
  • DOI: 10.1103/PhysRevA.42.1954

Simple nonequilibrium extension of the Ising model
journal, November 1996


Variational Principle for Steady States of Dissipative Quantum Many-Body Systems
journal, January 2015


Emergent phases and critical behavior in a non-Markovian open quantum system
journal, May 2018


Field theory of bicritical and tetracritical points. I. Statics
journal, October 2008


Field theory of bicritical and tetracritical points. II. Relaxational dynamics
journal, October 2008


Gutzwiller projection for bosons
journal, November 1991


Quantum Critical Regime in a Quadratically Driven Nonlinear Photonic Lattice
journal, March 2019


Giant Cross–Kerr Effect for Propagating Microwaves Induced by an Artificial Atom
journal, August 2013


Exciton–polariton condensates
journal, October 2014

  • Byrnes, Tim; Kim, Na Young; Yamamoto, Yoshihisa
  • Nature Physics, Vol. 10, Issue 11
  • DOI: 10.1038/nphys3143

Quantum-information processing with circuit quantum electrodynamics
journal, March 2007


Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
journal, July 2010


Observation of a Dissipative Phase Transition in a One-Dimensional Circuit QED Lattice
journal, February 2017

  • Fitzpatrick, Mattias; Sundaresan, Neereja M.; Li, Andy C. Y.
  • Physical Review X, Vol. 7, Issue 1
  • DOI: 10.1103/PhysRevX.7.011016

Two-Dimensional Superfluidity of Exciton Polaritons Requires Strong Anisotropy
journal, February 2015


Condensation of Semiconductor Microcavity Exciton Polaritons
journal, October 2002


Critical phenomena in systems with long-range-correlated quenched disorder
journal, January 1983


Renormalization-Group Analysis of Bicritical and Tetracritical Points
journal, September 1974

  • Nelson, David R.; Kosterlitz, J. M.; Fisher, Michael E.
  • Physical Review Letters, Vol. 33, Issue 14
  • DOI: 10.1103/PhysRevLett.33.813

Interaction-induced hopping phase in driven-dissipative coupled photonic microcavities
journal, June 2016

  • Rodriguez, S. R. K.; Amo, A.; Sagnes, I.
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms11887

Quantum spin dynamics and entanglement generation with hundreds of trapped ions
journal, June 2016


Nonequilibrium spin models with Ising universal behaviour
journal, May 1993

  • Oliveira, M. J. de; Mendes, J. F. F.; Santos, M. A.
  • Journal of Physics A: Mathematical and General, Vol. 26, Issue 10
  • DOI: 10.1088/0305-4470/26/10/006

Scaling Laws for Dynamic Critical Phenomena
journal, January 1969


Quantum fluids of light
journal, February 2013


Mapping repulsive to attractive interaction in driven–dissipative quantum systems
journal, November 2017


Nonequilibrium functional renormalization for driven-dissipative Bose-Einstein condensation
journal, April 2014


Thermal conductivity at a disordered quantum critical point
journal, April 2016

  • Hartnoll, Sean A.; Ramirez, David M.; Santos, Jorge E.
  • Journal of High Energy Physics, Vol. 2016, Issue 4
  • DOI: 10.1007/JHEP04(2016)022

Antiferromagnetic long-range order in dissipative Rydberg lattices
journal, August 2014


Bose–Einstein condensation of exciton polaritons
journal, September 2006

  • Kasprzak, J.; Richard, M.; Kundermann, S.
  • Nature, Vol. 443, Issue 7110
  • DOI: 10.1038/nature05131

Spin Flop, Supersolids, and Bicritical and Tetracritical Points
journal, June 1974


Log-periodic corrections to scaling: exact results for aperiodic Ising quantum chains
journal, July 1996


Boundary Time Crystals
journal, July 2018


Quantum correlations and limit cycles in the driven-dissipative Heisenberg lattice
journal, April 2018


Perturbative Field-Theoretical Renormalization Group Approach to Driven-Dissipative Bose-Einstein Criticality
journal, April 2014


Monitoring and manipulating Higgs and Goldstone modes in a supersolid quantum gas
journal, December 2017


Discrete-scale invariance and complex dimensions
journal, April 1998


Fast Quantum Gates for Neutral Atoms
journal, September 2000


Multicritical behavior in dissipative Ising models
journal, April 2017

  • Overbeck, Vincent R.; Maghrebi, Mohammad F.; Gorshkov, Alexey V.
  • Physical Review A, Vol. 95, Issue 4
  • DOI: 10.1103/PhysRevA.95.042133

Universal Critical Behavior of Noisy Coupled Oscillators
journal, October 2004


Quantum simulation of dynamical maps with trapped ions
journal, May 2013

  • Schindler, P.; Müller, M.; Nigg, D.
  • Nature Physics, Vol. 9, Issue 6
  • DOI: 10.1038/nphys2630

Nonequilibrium gas-liquid transition in the driven-dissipative photonic lattice
journal, October 2017


Steady-State Phases and Tunneling-Induced Instabilities in the Driven Dissipative Bose-Hubbard Model
journal, June 2013


Tunable coupling engineering between superconducting resonators: From sidebands to effective gauge fields
journal, April 2013


Discrete Scale Invariance in Stock Markets Before Crashes
journal, December 1996

  • Feigenbaum, James A.; Freund, Peter G. O.
  • International Journal of Modern Physics B, Vol. 10, Issue 27
  • DOI: 10.1142/S021797929600204X

Energy levels arising from resonant two-body forces in a three-body system
journal, December 1970


Conformality lost
journal, December 2009


Roton-Type Mode Softening in a Quantum Gas with Cavity-Mediated Long-Range Interactions
journal, May 2012


Universality of Quantum Critical Dynamics in a Planar Optical Parametric Oscillator
journal, August 2005


Critical behavior of m -component magnets with correlated impurities
journal, July 1982


Universality in few-body systems with large scattering length
journal, June 2006


Conservation laws, anisotropy, and ‘‘self-organized criticality’’ in noisy nonequilibrium systems
journal, April 1990


Collective phases of strongly interacting cavity photons
journal, September 2016


Observation of Rydberg blockade between two atoms
journal, January 2009

  • Urban, E.; Johnson, T. A.; Henage, T.
  • Nature Physics, Vol. 5, Issue 2
  • DOI: 10.1038/nphys1178

Multicritical behavior in models with two competing order parameters
journal, October 2013


Complex Critical Exponents from Renormalization Group Theory of Earthquakes: Implications for Earthquake Predictions
journal, May 1995

  • Sornette, Didier; Sammis, Charles G.
  • Journal de Physique I, Vol. 5, Issue 5
  • DOI: 10.1051/jp1:1995154

Effective Hamiltonian description of nonequilibrium spin systems
journal, April 1989


Phase transitions and universality in nonequilibrium steady states of stochastic Ising models
journal, June 1988

  • Wang, Jian -Sheng; Lebowitz, Joel L.
  • Journal of Statistical Physics, Vol. 51, Issue 5-6
  • DOI: 10.1007/BF01014891

Keldysh approach for nonequilibrium phase transitions in quantum optics: Beyond the Dicke model in optical cavities
journal, February 2013

  • Torre, Emanuele G. Dalla; Diehl, Sebastian; Lukin, Mikhail D.
  • Physical Review A, Vol. 87, Issue 2
  • DOI: 10.1103/PhysRevA.87.023831

Nonequilibrium Quantum Criticality in Open Electronic Systems
journal, December 2006


Deviations from Dynamic Scaling in Helium and Antiferromagnets
journal, February 1977


Critical Dynamics of Nonconserved Ising-Like Systems
journal, December 1994


Some invariance properties of the renormalization group
journal, June 1974


Quantum nonlinear optics with single photons enabled by strongly interacting atoms
journal, July 2012

  • Peyronel, Thibault; Firstenberg, Ofer; Liang, Qi-Yu
  • Nature, Vol. 488, Issue 7409
  • DOI: 10.1038/nature11361

Non-equilibrium Ising model with competing Glauber dynamics
journal, August 1991

  • Tome, T.; Oliveira, M. J. de; Santos, M. A.
  • Journal of Physics A: Mathematical and General, Vol. 24, Issue 15
  • DOI: 10.1088/0305-4470/24/15/033

Dynamics and universality in noise-driven dissipative systems
journal, May 2012

  • Dalla Torre, Emanuele G.; Demler, Eugene; Giamarchi, Thierry
  • Physical Review B, Vol. 85, Issue 18
  • DOI: 10.1103/PhysRevB.85.184302

Fragile fate of driven-dissipative XY phase in two dimensions
journal, November 2017


On-chip quantum simulation with superconducting circuits
journal, April 2012

  • Houck, Andrew A.; Türeci, Hakan E.; Koch, Jens
  • Nature Physics, Vol. 8, Issue 4
  • DOI: 10.1038/nphys2251

Dynamic Scaling near Bicritical Points
journal, October 1977


Dicke quantum phase transition with a superfluid gas in an optical cavity
journal, April 2010

  • Baumann, Kristian; Guerlin, Christine; Brennecke, Ferdinand
  • Nature, Vol. 464, Issue 7293
  • DOI: 10.1038/nature09009

Theory of dynamic critical phenomena
journal, July 1977


Nonequilibrium Ising model with competing dynamics: A MFRG approach
journal, April 1990


Antiblockade in Rydberg Excitation of an Ultracold Lattice Gas
journal, January 2007


Scaling representation for critical phenomena
journal, June 1975


Universal critical behavior of noisy coupled oscillators: A renormalization group study
journal, July 2005


Probing a Dissipative Phase Transition via Dynamical Optical Hysteresis
journal, June 2017


Quantum critical states and phase transitions in the presence of non-equilibrium noise
journal, August 2010

  • Dalla Torre, Emanuele G.; Demler, Eugene; Giamarchi, Thierry
  • Nature Physics, Vol. 6, Issue 10
  • DOI: 10.1038/nphys1754

The Cusp–Hopf Bifurcation
journal, August 2007

  • Harlim, J.; Langford, W. F.
  • International Journal of Bifurcation and Chaos, Vol. 17, Issue 08
  • DOI: 10.1142/S0218127407018622

Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles
journal, June 2001


Keldysh field theory for driven open quantum systems
journal, August 2016


The renormalization group: A probabilistic view
journal, March 1975


Critical properties of random and constrained dipolar magnets
journal, August 1975


Absence of long-range coherence in the parametric emission of photonic wires
journal, December 2006


Unconventional Magnetism via Optical Pumping of Interacting Spin Systems
journal, June 2013


Photon Solid Phases in Driven Arrays of Nonlinearly Coupled Cavities
journal, April 2013


Quantum states and phases in driven open quantum systems with cold atoms
journal, September 2008

  • Diehl, S.; Micheli, A.; Kantian, A.
  • Nature Physics, Vol. 4, Issue 11
  • DOI: 10.1038/nphys1073

Single-Photon-Resolved Cross-Kerr Interaction for Autonomous Stabilization of Photon-Number States
journal, October 2015


Steady-state phase diagram of a driven QED-cavity array with cross-Kerr nonlinearities
journal, August 2014


Russian doll renormalization group and Kosterlitz–Thouless flows
journal, December 2003


Evidence of Antiblockade in an Ultracold Rydberg Gas
journal, January 2010


Nonequilibrium antiferromagnetic mixed-spin Ising model
journal, September 2002


Nonequilibrium Phase Transition in a Dilute Rydberg Ensemble
journal, September 2013


Critical fluctuations in an optical parametric oscillator: when light behaves like magnetism
journal, January 2016

  • Dechoum, Kaled; Rosales-Zárate, Laura; Drummond, Peter D.
  • Journal of the Optical Society of America B, Vol. 33, Issue 5
  • DOI: 10.1364/JOSAB.33.000871

Universal Nonequilibrium Properties of Dissipative Rydberg Gases
journal, November 2014


Limit-cycle phase in driven-dissipative spin systems
journal, May 2015


Power-law decay of the spatial correlation function in exciton-polariton condensates
journal, April 2012

  • Roumpos, G.; Lohse, M.; Nitsche, W. H.
  • Proceedings of the National Academy of Sciences, Vol. 109, Issue 17
  • DOI: 10.1073/pnas.1107970109

Effects of Violating Detailed Balance on Critical Dynamics
journal, January 2002


Quantum dynamical field theory for nonequilibrium phase transitions in driven open systems
journal, August 2016


Full Counting Statistics and Phase Diagram of a Dissipative Rydberg Gas
journal, July 2014


Superconducting Circuits for Quantum Information: An Outlook
journal, March 2013


Dynamical Critical Phenomena in Driven-Dissipative Systems
journal, May 2013


Driven Markovian Quantum Criticality
journal, February 2016


Emergent equilibrium in many-body optical bistability
journal, April 2017