Quantum dynamics of localized excitations in a symmetric trimer molecule

Abstract

We study the time evolution of localized (local bond) excitations in a symmetric quantum trimer molecule. We relate the dynamical properties of localized excitations such as their spectral intensity and their temporal evolution (survival probability and tunneling of bosons) to their degree of overlap with quantum tunneling pair states. We report on the existence of degeneracy points in the trimer eigenvalue spectrum for specific values of parameters due to avoided crossings between tunneling pair states and additional states. The tunneling of localized excitations which overlap with these degenerate states is suppressed on all times. As a result local bond excitations may be strongly localized forever, similar to their classical counterparts.

9 pages, 12 figures. Improved version with more discussions. Some figures were replaced for better understanding. Accepted in Phys. Rev. A

References in corpus (13)

• Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
• Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
• Discrete Breathers
• Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
• Bright gap solitons of atoms with repulsive interaction
• Discrete breathers in nonlinear lattices: Experimental detection in a Josephson array
• Observation of breathers in Josephson ladders
• Experimental Generation and Observation of Intrinsic Localized Spin Wave Modes in an Antiferromagnet
• Matter-wave gap solitons in atomic bandgap structures
• Tunneling of a large spin via hyperfine interactions
• On dynamical tunneling and classical resonances
• Resonance-assisted tunneling in three degrees of freedom without discrete symmetry
• Tunneling of localized excitations: giant enhancement due to fluctuations

Cited by in corpus (8)

• Wavepacket dynamics in energy space of a chaotic trimeric Bose-Hubbard system
• Dynamical tunneling in molecules: Quantum routes to energy flow
• Quantum q-breathers in a finite Bose-Hubbard chain: The case of two interacting bosons
• Quantum breathers in capacitively coupled Josephson junctions: Correlations, number conservation, and entanglement
• Ground-state Properties of Small-Size Nonlinear Dynamical Lattices
• Quantum localized modes in capacitively coupled Josephson junctions
• Multi-soliton states under triangular spatial modulation of the quadratic nonlinearity
• Resonant invisibility with finite range interacting fermions