Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of the Korean Physical Society

Correlation Functions at Quantum Criticality under Broken Time-Reversal Symmetry

Min-Chul Cha, Gerardo Ortíz

Published Feb 20, 2008• 0 citations
Publisher
DOI
10.3938/jkps.52.158

Related papers

Correlated ground states with (spontaneously) broken time-reversal symmetry

Behnam Farid

arXiv:cond-mat/9604138•Solid State Communications•Oct 1, 1997•3 citations

Time-Reversal Symmetry of Non-Equilibrium Correlation Functions

Elsevier eBooks•Jan 1, 2007•0 citations

Time-reversal symmetry breaking and resurrection in driven-dissipative Ising models

Daniel A. Paz, Mohammad F. Maghrebi

Fluctuation-dissipation relations (FDRs) and time-reversal symmetry (TRS), two pillars of statistical mechanics, are both broken in generic driven-dissipative systems. These systems rather lead to non-equilibrium steady states far from thermal equilibrium. Driven-dissipative Ising-type models, however, are widely believed to exhibit effective thermal critical behavior near their phase transitions. Contrary to this picture, we show that both the FDR and TRS are broken even macroscopically at, or near, criticality. This is shown by inspecting different observables, both even and odd operators under time-reversal transformation, that overlap with the order parameter. Remarkably, however, a modified form of the FDR as well as TRS still holds, but with drastic consequences for the correlation and response functions as well as the Onsager reciprocity relations. Finally, we find that, at criticality, TRS remains broken even in the weakly-dissipative limit.

•May 26, 2021•1 citation

Behaviour of quantum correlations in a non-equilibrium system at criticality

Chaitanya Joshi, Jonathan Keeling

Bulletin of the American Physical Society•Jun 6, 2013•0 citations

Time-reversal symmetry breaking and emergence in driven-dissipative Ising models

Daniel A. Paz, Mohammad F. Maghrebi

Fluctuation-dissipation relations (FDRs) and time-reversal symmetry (TRS), two pillars of statistical mechanics, are both broken in generic driven-dissipative systems. These systems rather lead to non-equilibrium steady states far from thermal equilibrium. Driven-dissipative Ising-type models, however, are widely believed to exhibit effective thermal critical behavior near their phase transitions. Contrary to this picture, we show that both the FDR and TRS are broken even macroscopically at, or near, criticality. This is shown by inspecting different observables, both even and odd operators under time-reversal transformation, that overlap with the order parameter. Remarkably, however, a modified form of the FDR as well as TRS still holds, but with drastic consequences for the correlation and response functions as well as the Onsager reciprocity relations. Finally, we find that, at criticality, TRS remains broken even in the weakly-dissipative limit.

arXiv:2105.12747•SciPost Physics•Feb 17, 2022•4 citations

Generalized symmetry enriched criticality in (3+1)d

Benjamin Moy

We construct two classes of continuous phase transitions in 3+1 dimensions between gapped phases that break distinct generalized global symmetries. Our analysis focuses on SU(N)/\mathbb{Z}_N S U ( N ) / ℤ N gauge theory coupled to N_f N f flavors of Majorana fermions in the adjoint representation. For N N even and sufficiently large odd N_f N f , upon imposing time-reversal symmetry and an SO(N_f) S O ( N f ) flavor symmetry, the massless theory realizes a quantum critical point between a gapped phase in which a \mathbb{Z}_N ℤ N one-form symmetry is completely broken and a phase where it is broken to \mathbb{Z}_2 ℤ 2 , leading to \mathbb{Z}_{N/2} ℤ N / 2 topological order. We characterize the possible patterns of symmetry fractionalization in these phases and provide an explicit lattice model that exhibits the transition. The critical point has an enhanced symmetry, which includes non-invertible analogues of time-reversal symmetry. Enforcing a non-invertible time-reversal symmetry and the SO(N_f) S O ( N f ) flavor symmetry, for N N and N_f N f both odd, we demonstrate that this critical point can appear between a topologically ordered phase and a phase that spontaneously breaks the non-invertible time-reversal symmetry, furnishing an analogue of deconfined quantum criticality for generalized symmetries.

arXiv:2507.15925•SciPost Physics•Dec 3, 2025•0 citations
Fluctuation-dissipation relations (FDRs) and time-reversal symmetry (TRS), two pillars of statistical mechanics, are both broken in generic driven-dissipative systems. These systems rather lead to non-equilibrium steady states far from thermal equilibrium. Driven-dissipative Ising-type models, however, are widely believed to exhibit effective thermal critical behavior near their phase transitions. Contrary to this picture, we show that both the FDR and TRS are broken even macroscopically at, or near, criticality. This is shown by inspecting different observables, both even and odd operators under time-reversal transformation, that overlap with the order parameter. Remarkably, however, a modified form of the FDR as well as TRS still holds, but with drastic consequences for the correlation and response functions as well as the Onsager reciprocity relations. Finally, we find that, at criticality, TRS remains broken even in the weakly-dissipative limit.
Fluctuation-dissipation relations (FDRs) and time-reversal symmetry (TRS), two pillars of statistical mechanics, are both broken in generic driven-dissipative systems. These systems rather lead to non-equilibrium steady states far from thermal equilibrium. Driven-dissipative Ising-type models, however, are widely believed to exhibit effective thermal critical behavior near their phase transitions. Contrary to this picture, we show that both the FDR and TRS are broken even macroscopically at, or near, criticality. This is shown by inspecting different observables, both even and odd operators under time-reversal transformation, that overlap with the order parameter. Remarkably, however, a modified form of the FDR as well as TRS still holds, but with drastic consequences for the correlation and response functions as well as the Onsager reciprocity relations. Finally, we find that, at criticality, TRS remains broken even in the weakly-dissipative limit.
We construct two classes of continuous phase transitions in 3+1 dimensions between gapped phases that break distinct generalized global symmetries. Our analysis focuses on SU(N)/\mathbb{Z}_N S U ( N ) / ℤ N gauge theory coupled to N_f N f flavors of Majorana fermions in the adjoint representation. For N N even and sufficiently large odd N_f N f , upon imposing time-reversal symmetry and an SO(N_f) S O ( N f ) flavor symmetry, the massless theory realizes a quantum critical point between a gapped phase in which a \mathbb{Z}_N ℤ N one-form symmetry is completely broken and a phase where it is broken to \mathbb{Z}_2 ℤ 2 , leading to \mathbb{Z}_{N/2} ℤ N / 2 topological order. We characterize the possible patterns of symmetry fractionalization in these phases and provide an explicit lattice model that exhibits the transition. The critical point has an enhanced symmetry, which includes non-invertible analogues of time-reversal symmetry. Enforcing a non-invertible time-reversal symmetry and the SO(N_f) S O ( N f ) flavor symmetry, for N N and N_f N f both odd, we demonstrate that this critical point can appear between a topologically ordered phase and a phase that spontaneously breaks the non-invertible time-reversal symmetry, furnishing an analogue of deconfined quantum criticality for generalized symmetries.