Intrinsic decoherence dynamics in the three-coupled harmonic oscillators
interaction
- URL: http://arxiv.org/abs/2108.00353v1
- Date: Sun, 1 Aug 2021 02:36:23 GMT
- Title: Intrinsic decoherence dynamics in the three-coupled harmonic oscillators
interaction
- Authors: Alejandro R. Urz\'ua and H\'ector M. Moya-Cessa
- Abstract summary: We give an explicit solution for the complete equation, i.e., beyond the usual second order approximation used to arrive to the Lindblad form.
- Score: 77.34726150561087
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Applying the Milburn equation to describe intrinsic decoherence, we study the
interaction of three-coupled quantum harmonic oscillators or quantized fields.
We give an explicit solution for the complete equation, i.e., beyond the usual
second order approximation used to arrive to the Lindblad form. Then we
calculate the expectation value of the number operator of each oscillator or
mode for one of the modes given in an initial coherent
Related papers
- Harmonic Oscillator with a Step and its Isospectral Properties [0.0]
We investigate the one-dimensional Schr"odinger equation for a harmonic oscillator with a finite jump $a$ at the origin.
The solution is constructed by employing the ordinary matching-of-waves technique.
arXiv Detail & Related papers (2023-07-26T15:31:31Z) - Moving mirror-field dynamics under intrinsic decoherence [77.34726150561087]
We study the decaying dynamics in the mirror-field interaction by means of the intrinsic decoherence scheme.
We show expectation values, correlations, and Husimi functions for the solutions obtained.
arXiv Detail & Related papers (2023-05-06T03:41:45Z) - 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) - Quantum vibrational mode in a cavity confining a massless spinor field [91.3755431537592]
We analyse the reaction of a massless (1+1)-dimensional spinor field to the harmonic motion of one cavity wall.
We demonstrate that the system is able to convert bosons into fermion pairs at the lowest perturbative order.
arXiv Detail & Related papers (2022-09-12T08:21:12Z) - Virtual excitations and quantum correlations in ultra-strongly coupled
harmonic oscillators under intrinsic decoherence [0.0]
The Milburn master equation is solved exactly, and the dynamics of virtual ground state excitations are investigated.
The interaction of quantum correlations and virtual excitation was then studied.
arXiv Detail & Related papers (2022-05-30T17:00:52Z) - Anti-PT-symmetric harmonic oscillator and its relation to the inverted
harmonic oscillator [0.0]
We treat the quantum dynamics of a harmonic oscillator as well as its inverted counterpart in the Schr"odinger picture.
We show that the wavefunctions for this system are normalized in the sense of the pseudo-scalar product.
arXiv Detail & Related papers (2022-04-22T15:54:01Z) - Interaction of quantum systems with single pulses of quantized radiation [68.8204255655161]
We describe the interaction of a propagating pulse of quantum radiation with a localized quantum system.
By transformation to an appropriate picture, we identify the usual Jaynes-Cummings Hamiltonian between the scatterer and a superposition of the initial and final mode.
The transformed master equation offers important insights into the system dynamics and it permits numerically efficient solutions.
arXiv Detail & Related papers (2022-03-14T20:23:23Z) - Intrinsic decoherence for the displaced harmonic oscillator [77.34726150561087]
We use the complete solution of the Milburn equation that describes intrinsic decoherence.
We calculate the expectation values of position quadrature, and the number operator in initial coherent and squeezed states.
arXiv Detail & Related papers (2021-12-06T03:15:43Z) - The rotating harmonic oscillator revisited [0.0]
We analyze the distribution of the eigenvalues of the quantum-mechanical rotating harmonic oscillator by means of the Frobenius method.
A suitable ansatz leads to a three-term recurrence relation for the expansion coefficients.
Truncation of the series yields some particular eigenvalues and eigenfunctions in exact analytical form.
arXiv Detail & Related papers (2020-07-22T21:42:02Z)
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.