Phase diagram of the dissipative quantum particle in a box

Details Phase diagram of the dissipative quantum particle in a box Phase diagram of the dissipative quantum particle in a box

2007-11-08

arxiv.org/abs/0711.1325v4

Phys. Rev. B 78, 085439 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 7 figures. Typos corrected

Scientific paper

10.1103/PhysRevB.78.085439

We analyze the phase diagram of a quantum particle confined to a finite chain, subject to a dissipative environment described by an Ohmic spectral function. Analytical and numerical techniques are employed to explore both the perturbative and non-perturbative regime of the model. For small dissipation the coupling to the environment leads to a narrowing of the density distribution, and to a displacement towards the center of the array of accessible sites. For large values of the dissipation, we find a phase transition to a doubly degenerate phase which reflects the formation of an inhomogeneous effective potential within the array.

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