Geometric quenches in quantum integrable systems
arXiv:1006.3741 · doi:10.1088/1742-5468/2010/09/L09001
Abstract
We consider the generic problem of suddenly changing the geometry of an integrable, one-dimensional many-body quantum system. We show how the physics of an initial quantum state released into a bigger system can be completely described within the framework of the Algebraic Bethe Ansatz, by providing an exact decomposition of the initial state into the eigenstate basis of the system after such a geometric quench. Our results, applicable to a large class of models including the Lieb-Liniger gas and Heisenberg spin chains, thus offer a reliable framework for the calculation of time-dependent expectation values and correlations in this nonequilibrium situation.
8 pages
References in corpus (21)
- Thermalization and its mechanism for generic isolated quantum systems
- Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
- The Luttinger model following a sudden interaction switch-on
- Dynamical phase transition in correlated fermionic lattice systems
- Entanglement and correlation functions following a local quench: a conformal field theory approach
- The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
- Strongly correlated fermions after a quantum quench
- Effective thermal dynamics following a quantum quench in a spin chain
- Relaxation of antiferromagnetic order in spin-1/2 chains following a quantum quench
- Nonthermal steady states after an interaction quench in the Falicov-Kimball model
- Evolution of entanglement after a local quench
- Relaxation of a one-dimensional Mott insulator after an interaction quench
- A real-time study of diffusive and ballistic transport in spin-1/2 chains using the adaptive time-dependent density matrix renormalization group method
- Relaxation dynamics in the gapped XXZ spin-1/2 chain
- Correlation functions of the open XXZ chain I
- Quantum quenches from integrability: the fermionic pairing model
- Correlations in an expanding gas of hard-core bosons
- Fermi-Bose transformation for the time-dependent Lieb-Liniger gas
- Ground-state reference systems for expanding correlated fermions in one dimension
- Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions
- Momentum distribution of a freely expanding Lieb-Liniger gas