Underlying SUSY in a generalized Jaynes-Cummings model
- URL: http://arxiv.org/abs/2010.13867v1
- Date: Mon, 26 Oct 2020 19:35:05 GMT
- Title: Underlying SUSY in a generalized Jaynes-Cummings model
- Authors: F. H. Maldonado-Villamizar, C. A. Gonz\'alez-Guti\'errez, L.
Villanueva-Vergara, B. M. Rodr\'iguez-Lara
- Abstract summary: Our model features an underlying Lie graded algebra symmetry reminiscent to supersymmetric quantum mechanics.
We show the evolution of the population inversion and the boson quadratures for an initial state.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We propose a generalized Jaynes-Cummings model that includes but is not
limited to an extensive collection of experimental and theoretical proposals
from the literature. It covers nonlinear boson terms, nonlinear dispersive and
multi-boson exchange interaction. Our model features an underlying Lie graded
algebra symmetry reminiscent to supersymmetric quantum mechanics. This allows
us to propose a diagonalization scheme and calculate its analytic time
evolution. In consequence, we are able to construct closed forms for relevant
observables and explore the dynamics of particular realizations of our model
independent of their complexity. As an practical example, we show the evolution
of the population inversion and the boson quadratures for an initial state
consisting of the qubit in the ground state interacting with a coherent field
for a selection of cases including the standard JC model with Stark shift,
Kerr-like terms, intensity dependent coupling, multi-boson exchange and
algebraic deformations.
Related papers
- Exact solution for a class of quantum models of interacting bosons [0.0]
In quantum optics the prime interest is the evolution of an initial state, such as the generation of optical signal modes by a strong pump mode propagating in a nonlinear medium.
I propose a simple and general method of derivation of the solution to such a state evolution problem, applicable to a wide class of quantum models of interacting bosons.
arXiv Detail & Related papers (2024-11-21T15:13:03Z) - Geometric Neural Diffusion Processes [55.891428654434634]
We extend the framework of diffusion models to incorporate a series of geometric priors in infinite-dimension modelling.
We show that with these conditions, the generative functional model admits the same symmetry.
arXiv Detail & Related papers (2023-07-11T16:51:38Z) - Exact solution for quantum strong long-range models via a generalized
Hubbard-Stratonovich transformation [0.0]
We present an exact analytical solution for quantum strong long-range models in the canonical ensemble.
We utilize the equivalence between generalized Dicke models and interacting quantum models as a generalization of the Hubbard-Stratonovich transformation.
arXiv Detail & Related papers (2023-05-17T18:00:02Z) - 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) - Boundary theories of critical matchgate tensor networks [59.433172590351234]
Key aspects of the AdS/CFT correspondence can be captured in terms of tensor network models on hyperbolic lattices.
For tensors fulfilling the matchgate constraint, these have previously been shown to produce disordered boundary states.
We show that these Hamiltonians exhibit multi-scale quasiperiodic symmetries captured by an analytical toy model.
arXiv Detail & Related papers (2021-10-06T18:00:03Z) - Exact solutions of interacting dissipative systems via weak symmetries [77.34726150561087]
We analytically diagonalize the Liouvillian of a class Markovian dissipative systems with arbitrary strong interactions or nonlinearity.
This enables an exact description of the full dynamics and dissipative spectrum.
Our method is applicable to a variety of other systems, and could provide a powerful new tool for the study of complex driven-dissipative quantum systems.
arXiv Detail & Related papers (2021-09-27T17:45:42Z) - Emergent fractal phase in energy stratified random models [0.0]
We study the effects of partial correlations in kinetic hopping terms of long-range random matrix models on their localization properties.
We show that any deviation from the completely correlated case leads to the emergent non-ergodic delocalization in the system.
arXiv Detail & Related papers (2021-06-07T18:00:01Z) - Non-equilibrium stationary states of quantum non-Hermitian lattice
models [68.8204255655161]
We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner.
We focus on the quantum steady states of such models for both fermionic and bosonic systems.
arXiv Detail & Related papers (2021-03-02T18:56:44Z) - Quantum particle across Grushin singularity [77.34726150561087]
We study the phenomenon of transmission across the singularity that separates the two half-cylinders.
All the local realisations of the free (Laplace-Beltrami) quantum Hamiltonian are examined as non-equivalent protocols of transmission/reflection.
This allows to comprehend the distinguished status of the so-called bridging' transmission protocol previously identified in the literature.
arXiv Detail & Related papers (2020-11-27T12:53:23Z) - Renormalisation group flow of the Jaynes-Cummings model [0.0]
The Jaynes-Cummings model is a cornerstone of light-matter interactions.
While finite, the model provides an illustrative example of renormalisation in perturbation theory.
We show, however, that exact renormalisation reveals a rich non-perturbative structure.
arXiv Detail & Related papers (2020-05-13T18:00:05Z)
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.