Localization on short-range potentials in dissipative quantum mechanics

Abstract

In this Letter the problem of the existence of a state localized on a weak short-range attractive potential in the presence of dissipation is considered. It is shown that, contrary to the pure quantum case, a localized state is produced in any number of dimensions, while in low dimensions dissipation leads to much stronger localization. The results have physical implications for the dissipative dynamics of objects such as heavy particles in Fermi liquids and for superconductivity in high-$T_c$ materials.

RevTeX, 4 pages, 1 figure. Published version

References in corpus (3)

• Quantum Criticality: competing ground states in low dimensions
• Nearly Antiferromagnetic Fermi Liquids: A Progress Report
• Exactly solvable model of dissipative vortex tunneling