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Out-of-equilibrium protocol for Rényi entropies via the Jarzynski equality
1International School for Advanced Studies (SISSA), Via Bonomea 265, 34136 Trieste, Italy and INFN, Sezione di Trieste, Italy.
Physical Review. E
|July 16, 2017
Summary
Researchers developed a new protocol to measure Rényi entropies in quantum systems. This method uses an out-of-equilibrium process to calculate these entanglement measures, simplifying complex quantum many-body system analysis.
Area of Science:
- Quantum physics
- Statistical mechanics
Background:
- Entanglement measures like von Neumann and Rényi entropies offer insights into quantum many-body systems.
- Extracting these entanglement properties is often challenging analytically, experimentally, and computationally.
Purpose of the Study:
- To develop an alternative protocol for measuring equilibrium Rényi entropies.
- To provide a more accessible method for characterizing entanglement in quantum systems.
Main Methods:
- Combines the replica trick and Jarzynski equality to create an out-of-equilibrium protocol.
- Involves a quench in the geometry of replicas.
- Rényi entropies are calculated as the exponential average of work performed during the quench.
Main Results:
- Successfully applied the method in classical Monte Carlo simulations.
- Demonstrated effectiveness in the quasistatic (slow quench) regime.
- Achieved perfect agreement with conformal field theory predictions for Rényi entropies in the Ising universality class (1+1 dimensions).
Conclusions:
- The devised protocol offers an effective way to measure equilibrium Rényi entropies.
- The method has potential applications in quantum Monte Carlo simulations and cold-atom experiments.
- Validates the protocol's accuracy against established theoretical predictions.
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