Driven-dissipative Ising Model: An exact field-theoretical analysis
- URL: http://arxiv.org/abs/2101.05297v1
- Date: Wed, 13 Jan 2021 19:00:21 GMT
- Title: Driven-dissipative Ising Model: An exact field-theoretical analysis
- Authors: Daniel A. Paz and Mohammad F. Maghrebi
- Abstract summary: Driven-dissipative many-body systems are difficult to analyze analytically due to their non-equilibrium dynamics, dissipation and many-body interactions.
We develop an exact field-theoretical analysis and a diagrammatic representation of the spin model that can be understood from a simple scattering picture.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Driven-dissipative many-body systems are difficult to analyze analytically
due to their non-equilibrium dynamics, dissipation and many-body interactions.
In this paper, we consider a driven-dissipative infinite-range Ising model with
local spontaneous emission, which naturally emerges from the open Dicke model
in the large-detuning limit. Utilizing an adaptation of the Suzuki-Trotter
quantum-to-classical mapping, we develop an exact field-theoretical analysis
and a diagrammatic representation of the spin model that can be understood from
a simple scattering picture. With this representation, we are able to analyze
critical behavior, finite-size scaling and the effective temperature near the
respective phase transition. Our formalism further allows a detailed study of
the ordered phase where we find a "heating" region within which the effective
temperature becomes negative, thereby exhibiting a truly non-equilibrium
behavior. At the phase transition, we find two distinct critical behaviors with
overdamped and underdamped critical dynamics at generic and weakly-dissipative
critical points, respectively. We further show that the underdamped critical
behavior is robust against short-range perturbations and is not an artifact of
the mean-field nature of the model. To treat such perturbations, we extend our
diagrammatic representation to include the coupling to spin waves due to the
short-range interactions. The field-theoretical approach and the diagrammatics
developed in this work should prove useful in applications to generic
short-range driven-dissipative spin systems.
Related papers
- Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it.
We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
arXiv Detail & Related papers (2023-06-16T16:41:16Z) - 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) - Multifractality in the interacting disordered Tavis-Cummings model [0.0]
We analyze the spectral and transport properties of the interacting disordered Tavis-Cummings model at half excitation filling.
We find that the bipartite entanglement entropy grows logarithmically with time.
We show that these effects are due to the combination of finite interactions and integrability of the model.
arXiv Detail & Related papers (2023-02-28T16:31:12Z) - Slow semiclassical dynamics of a two-dimensional Hubbard model in
disorder-free potentials [77.34726150561087]
We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times.
In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
arXiv Detail & Related papers (2022-10-03T16:51:25Z) - Photoinduced prethermal order parameter dynamics in the two-dimensional
large-$N$ Hubbard-Heisenberg model [77.34726150561087]
We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model.
We simulate the light-induced transition between two competing phases.
arXiv Detail & Related papers (2022-05-13T13:13:31Z) - Accessing the topological Mott insulator in cold atom quantum simulators
with realistic Rydberg dressing [58.720142291102135]
We investigate a realistic scenario for the quantum simulation of such systems using cold Rydberg-dressed atoms in optical lattices.
We perform a detailed analysis of the phase diagram at half- and incommensurate fillings, in the mean-field approximation.
We furthermore study the stability of the phases with respect to temperature within the mean-field approximation.
arXiv Detail & Related papers (2022-03-28T14:55:28Z) - Decimation technique for open quantum systems: a case study with
driven-dissipative bosonic chains [62.997667081978825]
Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics.
We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function.
We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
arXiv Detail & Related papers (2022-02-15T19:00:09Z) - Probing eigenstate thermalization in quantum simulators via
fluctuation-dissipation relations [77.34726150561087]
The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems.
Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations.
Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
arXiv Detail & Related papers (2020-07-20T18:00:02Z) - Dissipative Rabi model in the dispersive regime [0.0]
We present results on the dispersive regime of the dissipative Rabi model without taking the rotating wave approximation of the underlying Hamiltonian.
Results additionally predict new types of drive induced qubit dissipation and dephasing, not present in previous theories.
arXiv Detail & Related papers (2020-04-06T09:45:24Z) - Semiclassical dynamics of a disordered two-dimensional Hubbard model
with long-range interactions [0.0]
We analyze Quench dynamics in a two-dimensional system of interacting fermions.
For a weak and moderate disorder strength, we observe subdiffusive behavior of charges, while spins exhibit diffusive dynamics.
In contrast to the short-range model, strong inhomogeneities such as domain walls in the initial state can significantly slow down thermalization dynamics.
arXiv Detail & Related papers (2020-02-13T14:59:23Z) - Simulating fermions in spin-dependent potentials with spin models on an
energy lattice [0.0]
We study spin-1/2 fermions in spin dependent potentials under the emphspin model approximation.
We show that the spin model approximation is accurate for weak interactions.
We present numerical techniques that are useful for analysis of spin models on an energy lattice.
arXiv Detail & Related papers (2020-01-14T04:08:56Z)
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.