基于涌现局域哈密顿量的量子绝热协议
Quantum adiabatic protocols using emergent local Hamiltonians
摘要：
我们提出了两个应用涌现局域哈密顿加速量子绝热协议的孤立的非相互作用和弱相互作用的费米系统在一维晶格。我们演示了如何从初始带绝缘状态中提取最大功，以及如何将系统从线性和谐波陷阱转换为盒陷阱。我们的协议包括两个阶段。第一个涉及一个自由膨胀，然后淬火到一个紧急的本地哈密顿。在第二阶段，涌现局部哈密顿量被准静态地“关闭”。对于从谐波陷阱的绝热转移，我们考虑零温度和非零温度的初始状态。
英文摘要：
We present two applications of emergent local Hamiltonians to speed up quantum adiabatic protocols for isolated noninteracting and weakly interacting fermionic systems in one-dimensional lattices. We demonstrate how to extract maximal work from initial band-insulating states, and how to adiabatically transfer systems from linear and harmonic traps into box traps. Our protocols consist of two stages. The first one involves a free expansion followed by a quench to an emergent local Hamiltonian. In the second stage, the emergent local Hamiltonian is "turned off" quasistatically. For the adiabatic transfer from a harmonic trap, we consider both zero- and nonzero-temperature initial states.
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