Finite-size behavior of quantum collective spin systems

Journal Article · Fri Jan 15 00:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.013818· OSTI ID:21388813

Liberti, Giuseppe ^[1]; Piperno, Franco; Plastina, Francesco ^[1]

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1. Dipartimento di Fisica, Universita della Calabria, I-87036 Arcavacata di Rende (Italy)

We discuss the finite size behavior of the adiabatic Dicke model, describing the collective coupling of a set of N two-level atoms (qubits) to a faster (electromagnetic) oscillator mode. The energy eigenstates of this system are shown to be directly related to those of another widely studied collective spin model, the uniaxial one. By employing an approximate continuum approach, we obtain a complete characterization of the properties of the latter, which we then use to evaluate the scaling properties of various observables for the original Dicke model near its quantum phase transition.

• OSTI ID: 21388813
• Journal Information: Physical Review. A, Vol. 81, Issue 1; Other Information: DOI: 10.1103/PhysRevA.81.013818; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
APPROXIMATIONS
ATOMS
COUPLING
EIGENSTATES
OSCILLATORS
PHASE TRANSFORMATIONS
QUBITS
SPIN
ANGULAR MOMENTUM
CALCULATION METHODS
ELECTRONIC EQUIPMENT
EQUIPMENT
INFORMATION
PARTICLE PROPERTIES
QUANTUM INFORMATION