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Path-integral Monte Carlo method for Rényi entanglement entropies
C M Herdman1, Stephen Inglis2, P-N Roy3
1Department of Physics, University of Vermont, Burlington, Vermont 05405, USA.
Summary
We developed a quantum Monte Carlo algorithm to measure Rényi entanglement entropies in interacting bosons. This method offers insights into quantum correlations and can be applied to large-scale many-body systems.
Area of Science:
- Quantum physics
- Many-body systems
- Quantum information
Background:
- Rényi entanglement entropies quantify quantum correlations in many-body systems.
- Interacting bosons in the continuum present challenges for entanglement measurement.
- Quantum Monte Carlo (QMC) methods are powerful for simulating quantum systems.
Purpose of the Study:
- To introduce a novel QMC algorithm for measuring Rényi entanglement entropies.
- To enable the study of entanglement in interacting boson systems in the continuum.
- To provide insights into quantum correlations arising from fluctuations and interactions.
Main Methods:
- Development of a path-integral ground state (PIGS) quantum Monte Carlo algorithm.
- Application to interacting itinerant bosons in arbitrary spatial dimensions.
- Computation of various entanglement measures: spatial mode, particle partitioned, and particle entanglement.
Main Results:
- Demonstration of the algorithm's capability to compute entanglement entropies for interacting bosons.
- Successful benchmarking against an exactly soluble model in one dimension.
- Validation of the algorithm's polynomial scaling for sign-problem-free models.
Conclusions:
- The introduced QMC algorithm is a viable tool for studying entanglement in continuum boson systems.
- The method offers insights into quantum correlations in systems relevant to quantum fluids.
- Future applications can extend to large-scale many-body systems due to efficient scaling.
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