Quantum Breathers in a Nonlinear Lattice
arXiv:cond-mat/9603187 · doi:10.1103/PhysRevLett.76.3598
Abstract
We study nonlinear phonon excitations in a one-dimensional quantum nonlinear lattice model using numerical exact diagonalization. We find that multi-phonon bound states exist as eigenstates which are natural counterparts of breather solutions of classical nonlinear systems. In a translationally invariant system, these quantum breather states form particle-like bands and are characterized by a finite correlation length. The dynamic structure factor has significant intensity for the breather states, with a corresponding quenching of the neighboring bands of multi-phonon extended states.
4 pages, RevTex, 4 postscript figures, Physical Relview Letters (in press)
Cited by in corpus (25)
- Discrete Breathers
- Experimental Generation and Observation of Intrinsic Localized Spin Wave Modes in an Antiferromagnet
- Generation of Intrinsic Vibrational Gap Modes in Three-Dimensional Ionic Crystals
- Edge-localized states in quantum one-dimensional lattices
- Biphonons in the Klein-Gordon lattice
- Melting of Discrete Vortices via Quantum Fluctuations
- Slow relaxation, confinement, and solitons
- Quantum Breathers in Electron-phonon Systems
- Relaxation channels of two-vibron bound states in α-helix proteins
- Stability of quantum breathers
- Density Matrix Renormalization Group Study of One-Dimensional Acoustic Phonons
- 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
- Quantum breathers in a nonlinear Klein Gordon lattice
- Tunneling of localized excitations: giant enhancement due to fluctuations
- Structure and time-dependence of quantum breathers
- Tunneling of quantum rotobreathers
- On quantization of weakly nonlinear lattices. Envelope solitons
- Arbitrarily Accurate Eigenvalues for General Anharmonic Potentials
- Dynamical structure factor of a nonlinear Klein-Gordon lattice
- Quantum localized modes in capacitively coupled Josephson junctions
- Breather mobility and the PN potential: Brief review and recent progress
- Spatial- and spatio-temporal pattern formation in optically driven discrete systems
- Discrete intrinsic localized modes in a microelectromechanical resonator
- Robust states of ultra-cold bosons in tilted optical lattices