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Entanglement View of Dynamical Quantum Phase Transitions
Stefano De Nicola1, Alexios A Michailidis1, Maksym Serbyn1
1IST Austria, Am Campus 1, 3400 Klosterneuburg, Austria.
Physical Review Letters
|February 12, 2021
Summary
Dynamical quantum phase transitions (DQPTs) are classified into "precession" and "entanglement" types. This study distinguishes these DQPTs using matrix product states, offering insights into their distinct characteristics and universal descriptions.
Area of Science:
- Quantum physics
- Many-body systems
- Condensed matter theory
Background:
- Dynamical quantum phase transitions (DQPTs) emerge from analogies between equilibrium statistical mechanics and unitary dynamics.
- DQPTs are characterized by nonanalyticities in the return amplitude, with their universal description remaining an open question.
- Existing research connects DQPTs to equilibrium concepts like order parameters, but a comprehensive classification is lacking.
Purpose of the Study:
- To establish a classification scheme for dynamical quantum phase transitions (DQPTs).
- To differentiate between distinct types of DQPTs based on their underlying dynamics and spectral properties.
- To provide a framework for understanding the diverse phenomenology of DQPTs.
Main Methods:
- Utilizing matrix product state (MPS) representations to describe unitary dynamics in the thermodynamic limit.
- Analyzing the behavior of DQPTs within the quantum Ising model as an illustrative example.
- Investigating spectral properties, particularly the entanglement gap and entanglement spectrum, to identify DQPT characteristics.
Main Results:
- A classification distinguishing "precession" DQPTs from "entanglement" DQPTs is proposed.
- "Precession" DQPTs exhibit a large entanglement gap and possess semiclassical features.
- "Entanglement" DQPTs are associated with avoided crossings in the entanglement spectrum and display complex nonlocal correlations.
Conclusions:
- The study successfully distinguishes two limiting cases of DQPTs: precession and entanglement.
- These classifications are demonstrated to extend beyond the quantum Ising model, indicating broader applicability.
- Understanding the interplay between these DQPT types is crucial for deciphering complex DQPT phenomena and developing universal descriptions.
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