Quantum group structure in a fermionic extension of the quantum harmonic oscillator

1991 ◽  
Vol 268 (1) ◽  
pp. 71-74 ◽  
Author(s):  
A.J. Macfarlane ◽  
Shahn Majid
Keyword(s):  
Harmonic Oscillator ◽  
Quantum Group ◽  
Group Structure ◽  
Quantum Harmonic Oscillator

SU(d)-INVARIANT MULTIDIMENSIONAL q-OSCILLATORS WITH BOSONIC DEGENERACY

2000 ◽  
Vol 15 (19) ◽  
pp. 1237-1242 ◽  
Author(s):  
A. ALGIN ◽  
M. ARIK ◽  
N. M. ATAKISHIYEV
Keyword(s):  
Harmonic Oscillator ◽  
Quantum Group ◽  
Lie Group ◽  
The Other ◽  
Quantum Harmonic Oscillator ◽  
Standard Quantum ◽  
Newton Equation ◽  
Two Parameter

Multidimensional two-parameter (q1, q2)-oscillators are of two kinds: one is invariant under the (ordinary) Lie group SU (d), whereas the other is invariant under the quantum group SU q(d) where q = q1/q2. It is shown that the q1 = q2 limit of both of these two-parameter oscillators coincide and give the q-deformed Newton oscillator which can be derived from the standard quantum harmonic oscillator Newton equation. The bosonic degeneracies of the excited levels of these oscillators are different for q1 ≠ q2, but coincide in the q1 = q2 limit.

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 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

POISSON–LIE GROUPS AND CLASSICAL W-ALGEBRAS

1992 ◽  
Vol 07 (05) ◽  
pp. 853-876 ◽  
Author(s):  
V. A. FATEEV ◽  
S. L. LUKYANOV
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Quantum Group ◽  
Lie Groups ◽  
Group Structure ◽  
Two Dimensional ◽  
Poisson Structures ◽  
Additional Symmetries ◽  
Conformal Field ◽  
Poisson Lie Groups

This is the first part of a paper studying the quantum group structure of two-dimensional conformal field theory with additional symmetries. We discuss the properties of the Poisson structures possessing classical W-invariance. The Darboux variables for these Poisson structures are constructed.

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.

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