The non-reciprocal Dicke model
- URL: http://arxiv.org/abs/2302.06386v2
- Date: Mon, 18 Sep 2023 17:47:58 GMT
- Title: The non-reciprocal Dicke model
- Authors: Ezequiel I. Rodr\'iguez Chiacchio, Andreas Nunnenkamp, Matteo Brunelli
- Abstract summary: We investigate the physics of an open two-component Dicke model, where the light field mediates non-reciprocal interactions between two spin species.
We show that the model exhibits a discrete parity-time ($mathcalPT$) symmetry and we characterize the emergence of a non-stationary phase, so far explained in terms of dissipation-induced instability.
Our results establish driven-dissipative light-matter systems as a new avenue for exploring non-reciprocal phase transitions and contribute to the theory of non-reciprocal collective phenomena.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We investigate the physics of an open two-component Dicke model, where the
light field mediates non-reciprocal interactions between two spin species. We
show that the model, which we dub non-reciprocal Dicke model, exhibits a
discrete parity-time ($\mathcal{PT}$) symmetry and we characterize the
emergence of a non-stationary phase, so far explained in terms of
dissipation-induced instability, as spontaneous breaking of $\mathcal{PT}$
symmetry. We further show that such $\mathcal{PT}$ symmetry breaking embodies
an instance of a non-reciprocal phase transition, a concept recently introduced
by Fruchart $et$ $al.$ [Nature ${\bf 592}$, 363 (2021)]. Remarkably, the phase
transition in our model does not necessitate the presence of any underlying
broken symmetry or exceptional points in the spectrum, both believed to be
essential requirements for non-reciprocal phase transitions. Our results
establish driven-dissipative light-matter systems as a new avenue for exploring
non-reciprocal phase transitions and contribute to the theory of non-reciprocal
collective phenomena.
Related papers
- Critical spin models from holographic disorder [49.1574468325115]
We study the behavior of XXZ spin chains with a quasiperiodic disorder not present in continuum holography.
Our results suggest the existence of a class of critical phases whose symmetries are derived from models of discrete holography.
arXiv Detail & Related papers (2024-09-25T18:00:02Z) - Asymmetry Amplification by a Nonadiabatic Passage through a Critical Point [0.0]
We propose and solve a minimal model of dynamic passage through a quantum second order phase transition in the presence of weak symmetry breaking interactions and no dissipation.
The evolution eventually leads to a highly asymmetric state, no matter how weak the symmetry breaking term is.
This suggests a potential mechanism for strong asymmetry in the production of particles with almost identical characteristics.
arXiv Detail & Related papers (2024-08-28T16:06:56Z) - Emergent Ashkin-Teller criticality in a constrained boson model [0.0]
We show, via explicit computation on a constrained bosonic model, that the presence of subsystem symmetries can lead to a quantum phase transition.
We provide an effective Landau-Ginzburg theory for such a transition, and discuss the connection of our model to the universality model describing Rydberg atom arrays.
arXiv Detail & Related papers (2023-11-20T19:00:03Z) - Entanglement phases, localization and multifractality of monitored free fermions in two dimensions [0.0]
We investigate the entanglement structure and wave function characteristics of continuously monitored free fermions with U$(1)$-symmetry in two spatial dimensions (2D)
By deriving the exact fermion replica-quantum master equation, we line out two approaches: (i) a nonlinear sigma model analogous to disordered free fermions, resulting in an SU$(R)$-symmetric field theory of symmetry class AIII in (2+1) space-time dimensions, or (ii) for bipartite lattices, third quantization leading to a non-Hermitian SU$ (2R)$-symmetric Hubbard model.
arXiv Detail & Related papers (2023-09-21T18:00:01Z) - Entanglement phase transition due to reciprocity breaking without
measurement or post-selection [59.63862802533879]
EPT occurs for a system undergoing purely unitary evolution.
We analytically derive the entanglement entropy out of and at the critical point for the $l=1$ and $l/N ll 1$ case.
arXiv Detail & Related papers (2023-08-28T14:28:59Z) - The Closed and Open Unbalanced Dicke Trimer Model: Critical Properties
and Nonlinear Semiclassical Dynamics [5.824077816472029]
We study a generalization of the recently introduced Dicke trimer model.
In the extreme unbalanced limit, the symmetry of the Tavis-Cummings model is restored.
We observe the emergence of nonequilibrium phases characterized by trivial and non-trivial dynamical signatures.
arXiv Detail & Related papers (2023-03-21T11:23:18Z) - Nonlinear sigma models for monitored dynamics of free fermions [0.0]
We derive descriptions for measurement-induced phase transitions in free fermion systems.
We use the replica trick to map the dynamics to the imaginary time evolution of an effective spin chain.
This is a nonlinear sigma model for an $Ntimes N$ matrix, in the replica limit $Nto 1$.
arXiv Detail & Related papers (2023-02-24T18:56:37Z) - Quantum chaos and thermalization in the two-mode Dicke model [77.34726150561087]
We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model.
The two-mode Dicke model exhibits normal to superradiant quantum phase transition.
We show that the temporal fluctuations of the expectation value of the collective spin observable around its average are small and decrease with the effective system size.
arXiv Detail & Related papers (2022-07-08T11:16:29Z) - Non-Gaussian superradiant transition via three-body ultrastrong coupling [62.997667081978825]
We introduce a class of quantum optical Hamiltonian characterized by three-body couplings.
We propose a circuit-QED scheme based on state-of-the-art technology that implements the considered model.
arXiv Detail & Related papers (2022-04-07T15:39:21Z) - Topological transitions with continuously monitored free fermions [68.8204255655161]
We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits.
We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
arXiv Detail & Related papers (2021-12-17T22:01:54Z) - Geometric phase in a dissipative Jaynes-Cummings model: theoretical
explanation for resonance robustness [68.8204255655161]
We compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models.
In the dissipative model, the non-unitary effects arise from the outflow of photons through the cavity walls.
We show the geometric phase is robust, exhibiting a vanishing correction under a non-unitary evolution.
arXiv Detail & Related papers (2021-10-27T15:27:54Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.