Optimal State Transfer and Entanglement Generation in Power-Law Interacting Systems

Published on Jul 21, 2021in Physical Review X15.762
路 DOI :10.1103/PHYSREVX.11.031016
Minh C. Tran12
Estimated H-index: 12
(UMD: University of Maryland, College Park),
Andrew Y. Guo6
Estimated H-index: 6
(UMD: University of Maryland, College Park)
+ 2 AuthorsAlexey V. Gorshkov55
Estimated H-index: 55
(UMD: University of Maryland, College Park)
Sources
Abstract
A certain class of quantum systems with long-range interactions can exhibit nonlocal behavior and transfer quantum information at the maximum rates allowed by quantum mechanics.
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#1Andrew Y. GuoH-Index: 6
Last. Alexey V. GorshkovH-Index: 55
view all 4 authors...
Lieb-Robinson bounds are powerful analytical tools for constraining the dynamic and static properties of non-relativistic quantum systems. Recently, a complete picture for closed systems that evolve unitarily in time has been achieved. In experimental systems, however, interactions with the environment cannot generally be ignored, and the extension of Lieb-Robinson bounds to dissipative systems which evolve non-unitarily in time remains an open challenge. In this work, we prove two Lieb-Robinson...
#1Minh C. Tran (UMD: University of Maryland, College Park)H-Index: 12
#2Andrew Y. Guo (UMD: University of Maryland, College Park)H-Index: 6
Last. Andrew Lucas (CU: University of Colorado Boulder)H-Index: 40
view all 6 authors...
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Macroscopic quantum effects play central roles in the appearance of inexplicable phenomena in low-temperature quantum many-body physics. Such macroscopic quantumness is often evaluated using long-range entanglement, i.e., entanglement in the macroscopic length scale. The long-range entanglement not only characterizes the novel quantum phases but also serves as a critical resource for quantum computation. Thus, the problem that arises is under which conditions can the long-range entanglement be s...
In this work, we investigate how quickly a local perturbation propagates in interacting boson systems with Bose-Hubbard-type Hamiltonians. In general, the systems have unbounded local energies, and arbitrarily fast information propagation may occur. We focus on the specific but experimentally natural setup that the initial state without perturbation is a steady-state where so many bosons do not concentrate on one site. We rigorously prove the existence of the almost linear light cone for the inf...
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