Open quantum system of two coupled harmonic oscillators for application in deep inelastic heavy ion collisions

I review recent applications of the open quantum system framework in the understanding of quarkonium suppression in heavy-ion collisions, which has been used as a probe of the quark–gluon plasma for decades. The derivation of the Lindblad equations for quarkonium in both the quantum Brownian motion and the quantum optical limits and their semiclassical counterparts is explained. The hierarchy of time scales assumed in the derivation is justified from the separation of energy scales in nonrelativistic effective field theories of QCD. Physical implications of the open quantum system approach are also discussed. Finally, I list some open questions for future studies.

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Effect of high frequency modes of medium on an open quantum system

Modern Physics Letters A ◽

10.1142/s0217732316500024 ◽

2016 ◽

Vol 31 (02) ◽

pp. 1650002

Author(s):

Nirupam Dutta ◽

A. K. Chaudhuri ◽

P. K. Panigrahi

Keyword(s):

Wave Function ◽

Density Matrix ◽

Quantum System ◽

Open System ◽

High Frequency ◽

Open Quantum System ◽

Harmonic Oscillators ◽

Open Quantum ◽

Type Oscillation ◽

High Frequency Modes

We present a method to calculate the real time effective propagator of a generic open quantum system, immersed in a medium using a wave function based framework. The medium is characterized by a set of harmonic oscillators having a continuous span of frequencies. This technique has been applied to the Caldeira–Leggett model showing that high frequency modes of the medium do not contribute towards decay of the population of states of the open system. In fact, they cause a Rabi-type oscillation. Moreover, our wave function based approach provides an excellent alternative to conventional formalisms involving the density matrix.

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ON THE DAMPING OF THE ANGULAR MOMENTUM OF A SPHERICAL HARMONIC OSCILLATOR AS A MODEL FOR HEAVY ION COLLISIONS

International Journal of Modern Physics A ◽

10.1142/s0217751x90000829 ◽

1990 ◽

Vol 05 (09) ◽

pp. 1773-1787 ◽

Cited By ~ 5

Author(s):

A. ISAR ◽

A. SANDULESCU ◽

W. SCHEID

Keyword(s):

Angular Momentum ◽

Harmonic Oscillator ◽

Spherical Harmonic ◽

Heavy Ion Collisions ◽

Open Quantum Systems ◽

Heavy Ion ◽

Quantum Systems ◽

Open Quantum ◽

Ion Collisions ◽

Explicit Expressions

In the frame of the Lindblad theory of open quantum systems, the spherical harmonic oscillator with opening operators linear in the coordinates and the momenta of the considered system is analyzed. Explicit expressions for the damping of the energy, angular momentum and its projection, including the coupling of the harmonic oscillator due to the environment, are obtained.

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