Journal
PHYSICAL REVIEW A
Volume 79, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.79.042703
Keywords
eigenvalues and eigenfunctions; fluctuations; ground states; Hilbert spaces; perturbation theory; quantum theory; Schrodinger equation
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We consider the behavior of an interacting many-particle system under slow external driving-a many-body generalization of the Landau-Zener paradigm. We find that a conspiracy of interactions and driving leads to physics profoundly different from that of the single-particle limit: for practically all values of the driving rate the particle distributions in Hilbert space are very broad, a phenomenon caused by a strong amplification of quantum fluctuations in the driving process. These fluctuations are nonadiabatic in that even at very slow driving it is exceedingly difficult to push the center of the distribution toward the limit of full ground-state occupancy. We obtain these results by a number of complementary theoretical approaches, including diagrammatic perturbation theory, semiclassical analysis, and exact diagonalization.
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