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Quantum Adiabatic Doping with Incommensurate Optical Lattices
Jian Lin1, Jue Nan2,3, Yuchen Luo1
1State Key Laboratory of Surface Physics, Institute of Nanoelectronics and Quantum Computing, and Department of Physics, Fudan University, Shanghai 200433, China.
Physical Review Letters
|December 24, 2019
Summary
Researchers propose adiabatic quantum evolution in incommensurate optical lattices to achieve low-temperature doped Fermi-Hubbard models. Interaction-induced delocalization circumvents atomic localization issues, enabling efficient doping in quantum simulations.
Area of Science:
- Quantum simulation
- Ultracold atomic physics
- Condensed matter theory
Background:
- Fermi-Hubbard models are crucial for understanding strongly correlated electron systems.
- Achieving low-temperature phases in doped Fermi-Hubbard models remains a significant challenge.
- Optical lattice experiments have successfully reached antiferromagnetic phases in ultracold atoms.
Purpose of the Study:
- To theoretically propose a method for doping Fermi-Hubbard models while maintaining low entropy.
- To investigate the feasibility of adiabatic quantum evolution in incommensurate optical lattices for doping.
- To address the challenge of atomic localization during adiabatic doping.
Main Methods:
- Theoretical proposal of adiabatic quantum evolution in incommensurate optical lattices.
- Analysis of atomic localization in one- and two-dimensional lattices.
- Density Matrix Renormalization Group (DMRG) calculations for one-dimensional systems.
- Consideration of Feshbach resonance techniques for interaction control.
Main Results:
- Atomic localization in incommensurate lattices hinders efficient adiabatic doping, especially in the strong lattice regime.
- Interaction-induced many-body delocalization can circumvent the slowing-down problem in one dimension.
- The proposed protocol is expected to be efficient in two dimensions due to less stable localization.
Conclusions:
- Adiabatic quantum evolution in incommensurate optical lattices offers a potential route to low-temperature doped Fermi-Hubbard models.
- Overcoming atomic localization via engineered many-body effects is key for experimental realization.
- This approach paves the way for exploring novel quantum phases in doped ultracold atomic systems.
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