scholarly journals ABC of ladder operators for rationally extended quantum harmonic oscillator systems

2017 ◽  
Vol 50 (27) ◽  
pp. 275202 ◽  
Author(s):  
José F Cariñena ◽  
Mikhail S Plyushchay
Keyword(s):  
Harmonic Oscillator ◽  
Quantum Harmonic Oscillator ◽  
Ladder Operators

scholarly journals Quadratic open quantum harmonic oscillator

2020 ◽  
Vol 110 (7) ◽  
pp. 1759-1782
Author(s):  
Ameur Dhahri ◽  
Franco Fagnola ◽  
Hyun Jae Yoo
Keyword(s):  
Harmonic Oscillator ◽  
Quantum Harmonic Oscillator ◽  
Open Quantum

scholarly journals Fast magnetohydrodynamic oscillation of longitudinally inhomogeneous prominence threads: an analogue with quantum harmonic oscillator

2014 ◽  
Vol 565 ◽  
pp. A35 ◽  
Author(s):  
S. N. Lomineishvili ◽  
T. V. Zaqarashvili ◽  
I. Zhelyazkov ◽  
A. G. Tevzadze
Keyword(s):  
Harmonic Oscillator ◽  
Quantum Harmonic Oscillator

scholarly journals The quantum harmonic oscillator as a Zariski geometry

2014 ◽  
Vol 165 (6) ◽  
pp. 1149-1168 ◽  
Author(s):  
Vinesh Solanki ◽  
Dmitry Sustretov ◽  
Boris Zilber
Keyword(s):  
Harmonic Oscillator ◽  
Quantum Harmonic Oscillator

scholarly journals Reading a Qubit Quantum State with a Quantum Meter: Time Unfolding of Quantum Darwinism and Quantum Information Flux

2019 ◽  
Vol 26 (04) ◽  
pp. 1950023
Author(s):  
Salvatore Lorenzo ◽  
Mauro Paternostro ◽  
G. Massimo Palma
Keyword(s):  
Quantum Information ◽  
Harmonic Oscillator ◽  
Quantum System ◽  
Quantum State ◽  
Common Theme ◽  
Quantum Harmonic Oscillator ◽  
Collision Model ◽  
Single Qubit ◽  
Quantum Darwinism

Quantum non-Markovianity and quantum Darwinism are two phenomena linked by a common theme: the flux of quantum information between a quantum system and the quantum environment it interacts with. In this work, making use of a quantum collision model, a formalism initiated by Sudarshan and his school, we will analyse the efficiency with which the information about a single qubit gained by a quantum harmonic oscillator, acting as a meter, is transferred to a bosonic environment. We will show how, in some regimes, such quantum information flux is inefficient, leading to the simultaneous emergence of non-Markovian and non-darwinistic behaviours.

Entanglement scaling in classical and quantum harmonic oscillator lattices

2006 ◽  
Author(s):  
K. Audenaert ◽  
M. Cramer ◽  
J. Eisert ◽  
M. B. Plenio
Keyword(s):  
Harmonic Oscillator ◽  
Quantum Harmonic Oscillator

scholarly journals Time-dependent quantum harmonic oscillator: a continuous route from adiabatic to sudden changes

2021 ◽  
Author(s):  
Daniel M. Tibaduiza ◽  
Luis Barbosa Pires ◽  
Carlos Farina
Keyword(s):  
Harmonic Oscillator ◽  
Simple Expression ◽  
Time Dependent ◽  
Frequency Change ◽  
Quantum Harmonic Oscillator ◽  
Transition Analysis ◽  
Adiabatic Theorem ◽  
Significant Difference ◽  
The One ◽  
Proper Interpretation

Abstract In this work, we give a quantitative answer to the question: how sudden or how adiabatic is a frequency change in a quantum harmonic oscillator (HO)? We do that by studying the time evolution of a HO which is initially in its fundamental state and whose time-dependent frequency is controlled by a parameter (denoted by ε) that can continuously tune from a totally slow process to a completely abrupt one. We extend a solution based on algebraic methods introduced recently in the literature that is very suited for numerical implementations, from the basis that diagonalizes the initial hamiltonian to the one that diagonalizes the instantaneous hamiltonian. Our results are in agreement with the adiabatic theorem and the comparison of the descriptions using the different bases together with the proper interpretation of this theorem allows us to clarify a common inaccuracy present in the literature. More importantly, we obtain a simple expression that relates squeezing to the transition rate and the initial and final frequencies, from which we calculate the adiabatic limit of the transition. Analysis of these results reveals a significant difference in squeezing production between enhancing or diminishing the frequency of a HO in a non-sudden way.

MULTI-MODE LINEAR COMPOSITE MOMENTUM REPRESENTATION AND ITS APPLICATION

2009 ◽  
Vol 23 (07) ◽  
pp. 975-988
Author(s):  
SHI-MIN XU ◽  
XING-LEI XU ◽  
JI-JIAN JIANG ◽  
HONG-QI LI ◽  
JI-SUO WANG
Keyword(s):  
Harmonic Oscillator ◽  
Unitary Transformation ◽  
Particle System ◽  
Momentum Representation ◽  
Dynamic Problems ◽  
Quantum Harmonic Oscillator ◽  
Oscillator System ◽  
Kinetic Coupling ◽  
Linear Composite ◽  
Multi Mode

A unitary transformation matrix, n linear-composite coordinate operators and n linear-composite momentum operators are constructed for an n-particle system, and the complete and orthonormal common eigenvectors of the multi-mode linear composite momentum operators are examined by virtue of the technique of integration within an ordered product of operators. The multi-mode linear composite momentum representation is proposed, and its application to a general two-mode forced quantum harmonic oscillator system with kinetic coupling is presented for solving some dynamic problems.

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