Localization and anomalous diffusion of a damped quantum particle

著者: Hermann Grabert, Peter Schramm, Gert‐Ludwig Ingold - Physical Review Letters 1987 被引用: 64

The time evolution of an initially localized state of a quantum particle coupled to a dissipative environment with spectral density I(\ensuremath{\omega})\ensuremath{\propto}${\mathrm{\ensuremath{\omega}}}^{\mathrm{\ensuremath{\alpha}}}$ for low frequencies is discussed. At finite temperatures, the width of the state can grow subdiffusively or superdiffusively, depending on \ensuremath{\alpha}. For \ensuremath{\alpha}>2 damping becomes ineffective for long times and the state spreads kinematically. At zero temperature the spreading is slower and for \ensuremath{\alpha}<1 an initially localized state remains localized for all times.