Tricritical Dicke model with and without dissipation
- URL: http://arxiv.org/abs/2305.07109v2
- Date: Thu, 14 Sep 2023 21:17:21 GMT
- Title: Tricritical Dicke model with and without dissipation
- Authors: Diego Fallas Padilla, Han Pu
- Abstract summary: We explore a tricritical Dicke model, where an ensemble of three-level systems interact with a single light mode.
In equilibrium, the system exhibits a rich phase diagram where both continuous and discrete symmetries can be spontaneously broken.
We show that the tricritical behavior is preserved when dissipation is taken into account, moreover, the system develops a steady-state phase diagram with various regions of bistability.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Light-matter interacting systems involving multi-level atoms are appealing
platforms for testing equilibrium and dynamical phenomena. Here, we explore a
tricritical Dicke model, where an ensemble of three-level systems interacts
with a single light mode, through two different approaches: a generalized
Holstein-Primakoff map, and a treatment using the Gell-Mann matrices. Both
methods are found to be equivalent in the thermodynamic limit of an infinite
number of atoms. In equilibrium, the system exhibits a rich phase diagram where
both continuous and discrete symmetries can be spontaneously broken. We
characterize all the different types of symmetries according to their scaling
behaviors. Far from the thermodynamic limit, considering just a few tens of
atoms, the system already exhibits features that could help characterize both
second and first-order transitions in a potential experiment. Importantly, we
show that the tricritical behavior is preserved when dissipation is taken into
account, moreover, the system develops a steady-state phase diagram with
various regions of bistability, all of them converging at the tricritical
point. Having multiple stable normal and superradiant phases opens prospective
avenues for engineering interesting steady states by a clever choice of initial
states and/or parameter quenching.
Related papers
- Quantum thermalization mechanism and the emergence of symmetry-breaking phases [0.0]
We propose a generalization of the eigenstate thermalization hypothesis accounting for the emergence of symmetry-breaking phases.<n>We explore the applicability of this formalism by means of numerical experiments on a three-site Bose-Hubbard model with two non-commuting discrete symmetries.
arXiv Detail & Related papers (2025-06-16T11:24:33Z) - Engineering One Axis Twisting via a Dissipative Berry Phase Using Strong
Symmetries [0.0]
We show how a driven-dissipative cavity coupled to a collective ensemble of atoms can generate metrologically useful spin-squeezed states.
This work shows that it is possible to generate entanglement in an atom-cavity resonant regime with macroscopic optical excitations of the system.
arXiv Detail & Related papers (2024-01-11T19:03:46Z) - Signatures of a quantum phase transition on a single-mode bosonic model [0.0]
Equilibrium phase transitions emerge from the microscopic behavior of many-body systems.
They can be defined through the non-analytic behavior of thermodynamic potentials in the thermodynamic limit.
Taking previous ideas to the extreme, we argue that such a limit can be defined even in non-extended systems.
arXiv Detail & Related papers (2023-03-22T20:14:45Z) - Third quantization of open quantum systems: new dissipative symmetries
and connections to phase-space and Keldysh field theory formulations [77.34726150561087]
We reformulate the technique of third quantization in a way that explicitly connects all three methods.
We first show that our formulation reveals a fundamental dissipative symmetry present in all quadratic bosonic or fermionic Lindbladians.
For bosons, we then show that the Wigner function and the characteristic function can be thought of as ''wavefunctions'' of the density matrix.
arXiv Detail & Related papers (2023-02-27T18:56:40Z) - Spontaneous symmetry breaking in non-steady modes of open quantum
many-body systems [0.0]
We consider spontaneous symmetry breaking in non-steady modes of an open quantum many-body system.
For a dissipative spin model, it is shown that the most coherent mode exhibits a transition from a disordered phase to a symmetry-broken ordered phase.
arXiv Detail & Related papers (2022-12-19T09:45:44Z) - Formation of robust bound states of interacting microwave photons [148.37607455646454]
One of the hallmarks of interacting systems is the formation of multi-particle bound states.
We develop a high fidelity parameterizable fSim gate that implements the periodic quantum circuit of the spin-1/2 XXZ model.
By placing microwave photons in adjacent qubit sites, we study the propagation of these excitations and observe their bound nature for up to 5 photons.
arXiv Detail & Related papers (2022-06-10T17:52:29Z) - Quantum coherence controls the nature of equilibration in coupled
chaotic systems [0.0]
Quantum coherence of the initial product states in the uncoupled eigenbasis can be viewed as a resource for equilibration and approach to thermalization.
Results are given for four distinct perturbation strength regimes, the ultra-weak, weak, intermediate, and strong regimes.
Maximally coherent initial states thermalize for any perturbation strength in spite of the fact that in the ultra-weak perturbative regime the underlying eigenstates of the system have a tensor product structure and are not at all thermal-like.
arXiv Detail & Related papers (2022-04-15T17:33:44Z) - 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) - 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) - Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
Quantum-body systems display rich phase structure in their low-temperature equilibrium states.
We experimentally observe an eigenstate-ordered DTC on superconducting qubits.
Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
arXiv Detail & Related papers (2021-07-28T18:00:03Z) - Breaking strong symmetries in dissipative quantum systems: Bosonic atoms
coupled to a cavity [0.0]
In dissipative quantum systems, strong symmetries can lead to the existence of conservation laws and multiple steady states.
We show that for ideal bosons coupled to the cavity multiple steady states exist and in each symmetry sector a dissipative phase transition occurs at a different critical point.
We point out the phenomenon of dissipative freezing, the breaking of the conservation law at the level of individual realizations in the presence of the strong symmetry.
arXiv Detail & Related papers (2021-02-04T10:54:31Z) - Engineering multipartite entangled states in doubly pumped parametric
down-conversion processes [68.8204255655161]
We investigate the quantum state generated by optical parametric down-conversion in a $chi(2) $ medium driven by two modes.
The analysis shows the emergence of multipartite, namely 3- or 4-partite, entangled states in a subset of the modes generated by the process.
arXiv Detail & Related papers (2020-07-23T13:53:12Z)
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.