Dynamical quantum phase transitions
arXiv:1004.2409 · doi:10.1007/s10909-008-9831-5
Abstract
A sweep through a quantum phase transition by means of a time-dependent external parameter (e.g., pressure) entails non-equilibrium phenomena associated with a break-down of adiabaticity: At the critical point, the energy gap vanishes and the response time diverges (in the thermodynamic limit). Consequently, the external time-dependence inevitably drives the system out of equilibrium, i.e., away from the ground state, if we assume zero temperature initially. In this way, the initial quantum fluctuations can be drastically amplified and may become observable -- especially for symmetry-breaking (restoring) transitions. By means of several examples, possible effects of these amplified quantum fluctuations are studied and universal features (such as freezing) are discussed.
9 pages, 11 figures
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Cited by in corpus (10)
- Spread of correlations in long-range interacting quantum systems
- First Order Quantum Phase Transition in Adiabatic Quantum Computation
- Emergence of coherence in the Mott--superfluid quench of the Bose-Hubbard model
- O(N) symmetry-breaking quantum quench: Topological defects versus quasiparticles
- Fidelity susceptibility in the two-dimensional spin-orbit models
- Finite-rate quenches of site bias in the Bose-Hubbard dimer
- Emergence of a new pair-coherent phase in many-body quenches of repulsive bosons
- Deep recurrent networks predicting the gap evolution in adiabatic quantum computing
- Decoherence in a dynamical quantum phase transition
- Exploring the Kibble-Zurek mechanism in a secondary bifurcation