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Open Quantum Systems Decoherence
Quantum Simulation
Harmonic oscillator chain in noncommutative phase space with rotational symmetry
arXiv
Authors: Kh. P. Gnatenko
Year
2018
Paper ID
23616
Status
Preprint
Abstract Read
~2 min
Abstract Words
86
Citations
N/A
Abstract
We consider a quantum space with rotationally invariant noncommutative algebra of coordinates and momenta. The algebra contains tensors of noncommutativity constructed involving additional coordinates and momenta. In the rotationally invariant noncommutative phase space harmonic oscillator chain is studied. We obtain that noncommutativity affects on the frequencies of the system. In the case of a chain of particles with harmonic oscillator interaction we conclude that because of momentum noncommutativity the spectrum of the center-of-mass of the system is discrete and corresponds to the spectrum of harmonic oscillator.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We consider a quantum space with rotationally invariant noncommutative algebra of coordinates and momenta.
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