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Effective light cone and digital quantum simulation of interacting bosons
Tomotaka Kuwahara1,2,3, Tan Van Vu4, Keiji Saito5
1Analytical quantum complexity RIKEN Hakubi Research Team, RIKEN Center for Quantum Computing (RQC), Wako, Saitama, 351-0198, Japan. tomotaka.kuwahara@riken.jp.
Nature Communications
|March 22, 2024
Summary
This study defines the effective light cone for interacting bosons, revealing a finite speed limit for information propagation. This breakthrough settles a long-standing problem in quantum physics and enables efficient simulations.
Area of Science:
- Quantum Physics
- Non-equilibrium Dynamics
- Many-Body Systems
Background:
- Information propagation speed is fundamental in non-equilibrium physics.
- The Lieb-Robinson bound defines the effective light cone for information spread.
- The Lieb-Robinson bound for interacting boson systems remained an open problem.
Purpose of the Study:
- To determine the effective light cone for interacting boson systems.
- To establish a finite speed limit for information propagation in these systems.
- To develop efficient algorithms for simulating interacting bosons.
Main Methods:
- Proving a finite speed for bosons to clump together.
- Establishing an error guarantee for boson number truncation.
- Applying these methods to create a simulation algorithm.
Main Results:
- A tight effective light cone for interacting bosons was revealed.
- The light cone's shape depends on the spatial dimension.
- A provably efficient algorithm for simulating interacting boson systems was developed.
Conclusions:
- The study settles a notoriously challenging problem regarding Lieb-Robinson bounds in boson systems.
- Provides a foundation for understanding the complexity of many-body boson systems.
- Enables more accurate and efficient quantum simulations.
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