Entanglement and Fidelity: Statics and Dynamics

Abstract

Herein, aspects of entanglement and fidelity and their use in condensed matter systems are briefly reviewed. Both static and time-dependent situations are considered. Different signatures of phases and phase transitions are discussed, including the dynamic aspects of the evolution across a critical point. Some emphasis is placed on the use of entanglement in phase transitions with no clear order parameters and no symmetry breaking.

Keywords

• entanglement entropy
• fidelity
• entanglement modes
• topological correlators
• dynamical topological order parameter