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Bethe ansatz approach to quench dynamics in the Richardson model
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10.1063/1.3183720
/content/aip/journal/jmp/50/9/10.1063/1.3183720
http://aip.metastore.ingenta.com/content/aip/journal/jmp/50/9/10.1063/1.3183720
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

A few examples of numerical solutions for (real part only) showing how to relate the structure to the one at . We, respectively, get 2, 3, and 5 divergent rapidities.

Image of FIG. 2.
FIG. 2.

First column of the quench matrix (ground-state overlaps) for several quenches. In all plots and the ground state energies (represented by vertical lines) have been shifted for clarity. Top: Decomposition of the ground state with states at . Center: Decomposition of several initial ground state in terms of the states at . Bottom: Decomposition of the ground state in terms of states (from Ref. 6).

Image of FIG. 3.
FIG. 3.

Pictorial representation of the “single block states” obtained by promoting contiguous blocks of rapidities from right below to right above the FL.

Image of FIG. 4.
FIG. 4.

Total contribution of these states to the amplitude of the initial state at , as a function of interaction (from Ref. 6).

Image of FIG. 5.
FIG. 5.

Pictorial representation of the single excitations for a given block state. One should understand that the same process is applied to every one of the block states (see Fig. 3)

Image of FIG. 6.
FIG. 6.

Pictorial representation of the doubly excited states which are kept for a given block state. The same process is applied to every one of the block states (see Fig. 3). Moreover, one should remember the inclusion of states featuring one excitation above and one below the FL (not represented here but discussed in the text).

Image of FIG. 7.
FIG. 7.

Bottom left: Off-diagonal order parameter evolution for , . Right: Fourier transform, the various plots are shifted on the vertical axis for clarity. Top left: Nonequilibrium finite-size “phase diagram” resulting from the time-averaged canonical gap obtained from the off-diagonal order parameter, as explained in the text (from Ref. 6).

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/content/aip/journal/jmp/50/9/10.1063/1.3183720
2009-08-13
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Bethe ansatz approach to quench dynamics in the Richardson model
http://aip.metastore.ingenta.com/content/aip/journal/jmp/50/9/10.1063/1.3183720
10.1063/1.3183720
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