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Multiparticle Quantum Walks and Fisher Information in One-Dimensional Lattices
Xiaoming Cai1, Hongting Yang2, Hai-Long Shi1,3
1State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, APM, Chinese Academy of Sciences, Wuhan 430071, China.
Physical Review Letters
|September 17, 2021
Summary
This study explores quantum walks (QWs) for three bosons and fermions in 1D lattices. Bosonic QWs show enhanced precision measurements and unique Bloch oscillations with a surprising time scaling.
Area of Science:
- Quantum physics
- Condensed matter physics
- Quantum information science
Background:
- Quantum walks (QWs) exhibit statistics-dependent behavior for single and two particles.
- Characterization of many-body quantum walks remains largely unexplored.
Purpose of the Study:
- To rigorously study many-body quantum walks, Bloch oscillations, and quantum Fisher information for three indistinguishable bosons and fermions in 1D lattices.
- To investigate statistics- and interaction-dependent transport phenomena and precision measurement capabilities.
Main Methods:
- Time-evolving block decimation (TEBD) algorithm.
- Many-body perturbation theory.
Main Results:
- Strongly correlated QWs demonstrate statistics- and interaction-dependent ballistic transport of scattering and bound states.
- Quantum walks enable enhanced precision measurements of gravitational force.
- Three-boson QWs exhibit unique Bloch oscillations with a t^3 Fisher information scaling below t0, saturating to t^2 for t > t0, unlike fermion QWs.
Conclusions:
- Many-body quantum walks offer novel transport dynamics and enhanced quantum measurement capabilities.
- The distinct behavior of bosonic quantum walks highlights the role of statistics in quantum phenomena.
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