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Quantum kicked harmonic oscillator in contact with a heat bath [PDF]
We consider the quantum harmonic oscillator in contact with a finite temperature bath, modelled by the Caldeira-Leggett master equation. Applying periodic kicks to the oscillator, we study the system in different dynamical regimes between classical ...
M. Prado, P. C. L. V'azquez, T. Gorin
semanticscholar +1 more source
Exact solution of the time-dependent harmonic plus an inverse harmonic potential with a time-dependent electromagnetic field [PDF]
In this article, the problem of the charged harmonic plus an inverse harmonic oscillator with time-dependent mass and frequency in a time-dependent electromagnetic field is investigated. It is reduced to the problem of the inverse harmonic oscillator with time-independent parameters and the exact wave function is obtained.
arxiv +1 more source
Wavefunctios of log-periodic oscillators
We use the Lewis and Riesenfeld invariant method [\textit{J. Math. Phys.} \textbf{10}, 1458 (1969)] and a unitary transformation to obtain the exact Schr\"{o}dinger wave functions for time-dependent harmonic oscillators exhibiting log-periodic-type ...
Bessa, V., Guedes, I.
core +1 more source
Excitation with quantum light. I. Exciting a harmonic oscillator [PDF]
A theoretical analysis of the interaction between quantum light and matter shows that quantum light can offer advantages over its classical analog.
J. C. L. Carreno, F. Laussy
semanticscholar +1 more source
MQHOA algorithm with energy level stabilizing process
An improved multi-scale quantum harmonic oscillator algorithm (MQHOA) with energy level stabilizing process was proposed analogizing to quantum harmonic oscillator's wave function.
Peng WANG, Yan HUANG
doaj +2 more sources
Classical Linear Harmonic Oscillators to Describe Thermodynamic Properties of Quantum Linear Harmonic Oscillators and Solids [PDF]
As known all physical properties of solids are described well by the system of quantum linear harmonic oscillators. It is shown in the present paper that the system consisting of classical linear harmonic oscillators having temperature dependent masses or (and) frequencies has the same partition function as the system consisting of quantum linear ...
arxiv
We derive the energy levels associated with the even-parity wave functions of the harmonic oscillator with an additional delta-function potential at the origin.
Peres, N. M. R., Viana-Gomes, J.
core +1 more source
The quantum harmonic oscillator is a fundamental piece of physics. In this paper, we present a self-contained full-fledged analytical solution to the quantum harmonic oscillator.
Arturo Rodríguez-Gómez+1 more
doaj +1 more source
Transitionless quantum drivings for the harmonic oscillator
Two methods to change a quantum harmonic oscillator frequency without transitions in a finite time are described and compared. The first method, a transitionless-tracking algorithm, makes use of a generalized harmonic oscillator and a non-local potential.
A Ruschhaupt+12 more
core +1 more source
Deterministic nonlinear phase gates induced by a single qubit
We propose deterministic realizations of nonlinear phase gates by repeating a finite sequence of non-commuting Rabi interactions between a harmonic oscillator and only a single two-level ancillary qubit.
Kimin Park, Petr Marek, Radim Filip
doaj +1 more source