Signatures of Quantum Phase Transitions in Driven Dissipative Spin Chains
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arXiv
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| Format: | Preprint |
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2024
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| author | Ali, Mostafa Kamar, Naushad A. Seif, Alireza Maghrebi, Mohammad |
| author_facet | Ali, Mostafa Kamar, Naushad A. Seif, Alireza Maghrebi, Mohammad |
| contents | Open driven quantum systems have defined a powerful paradigm of nonequilibrium phases and phase transitions; however, quantum phase transitions are generically not expected in this setting due to the decohering effect of dissipation. In this Letter, we consider a quantum Ising model subject to bulk dissipation (at rate $Γ$) and show that, although the correlation length remains finite (hence no phase transition), it develops a pronounced peak close to the ground-state quantum critical point. While standard techniques fail in this regime, we develop a versatile analytical approach that becomes exact with vanishing dissipation ($Γ\to 0$ but finite $Γt$). On a technical level, our approach builds on previous work where the state of the system is described by a slowly evolving generalized Gibbs ensemble that accounts for the integrability of the Hamiltonian while treating dissipation perturbatively. Finally, we demonstrate a kind of universality in that integrability-breaking perturbations of the Hamiltonian lead to the same behavior. To this end, we first show that the steady state of a chaotic Ising Hamiltonian under local Markovian dissipation that preserves the Ising symmetry, and in the limit $Γ\to 0$, is identical to that of quench dynamics in the absence of dissipation. This intriguing connection then allows us to draw on recent findings about quantum phase transition signatures in quench dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_20518 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Signatures of Quantum Phase Transitions in Driven Dissipative Spin Chains Ali, Mostafa Kamar, Naushad A. Seif, Alireza Maghrebi, Mohammad Quantum Gases Quantum Physics Open driven quantum systems have defined a powerful paradigm of nonequilibrium phases and phase transitions; however, quantum phase transitions are generically not expected in this setting due to the decohering effect of dissipation. In this Letter, we consider a quantum Ising model subject to bulk dissipation (at rate $Γ$) and show that, although the correlation length remains finite (hence no phase transition), it develops a pronounced peak close to the ground-state quantum critical point. While standard techniques fail in this regime, we develop a versatile analytical approach that becomes exact with vanishing dissipation ($Γ\to 0$ but finite $Γt$). On a technical level, our approach builds on previous work where the state of the system is described by a slowly evolving generalized Gibbs ensemble that accounts for the integrability of the Hamiltonian while treating dissipation perturbatively. Finally, we demonstrate a kind of universality in that integrability-breaking perturbations of the Hamiltonian lead to the same behavior. To this end, we first show that the steady state of a chaotic Ising Hamiltonian under local Markovian dissipation that preserves the Ising symmetry, and in the limit $Γ\to 0$, is identical to that of quench dynamics in the absence of dissipation. This intriguing connection then allows us to draw on recent findings about quantum phase transition signatures in quench dynamics. |
| title | Signatures of Quantum Phase Transitions in Driven Dissipative Spin Chains |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2405.20518 |