Complexity and instability of quantum motion near a quantum phase transition
arXiv:1311.4437 · doi:10.1103/PhysRevE.89.032120
Abstract
We show that the number of harmonics of the Wigner function, recently proposed as a measure of quantum complexity, can be also used to characterize quantum phase transitions. The non-analytic behavior of this quantity in the neighborhood of a quantum phase transition is illustrated by means of the Dicke model and is compared to two well-known measures of the (in)stability of quantum motion, the quantum Loschmidt echo and the fidelity.
9 pages, 5 figures
References in corpus (15)
- Dynamics of Loschmidt echoes and fidelity decay
- Quantum critical scaling of the geometric tensors
- Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
- Mixed-state fidelity and quantum criticality at finite temperature
- Decoherence induced by interacting quantum spin baths
- Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
- Quantum fidelity and quantum phase transitions in matrix product states
- Quantum phase transitions and quantum fidelity in free fermion graphs
- Detection of quantum critical points by a probe qubit
- Direct observation of quantum criticality in Ising spin chains
- How complex is the quantum motion?
- Complexity of Quantum States and Reversibility of Quantum Motion
- Phase-space characterization of complexity in quantum many-body dynamics
- Scaling behavior for a class of quantum phase transitions
- How Well a Chaotic Quantum System Can Retain Memory of Its Initial State?