1,012 research outputs found
Overlaps after quantum quenches in the sine-Gordon model
We present a numerical computation of overlaps in mass quenches in
sine-Gordon quantum field theory using truncated conformal space approach
(TCSA). To improve the cut-off dependence of the method, we use a novel running
coupling definition which has a general applicability in free boson TCSA. The
numerical results are used to confirm the validity of a previously proposed
analytical Ansatz for the initial state in the sinh-Gordon quench.Comment: 13 pages, 4 pdf figure
Initial states in integrable quantum field theory quenches from an integral equation hierarchy
We consider the problem of determining the initial state of integrable
quantum field theory quenches in terms of the post-quench eigenstates. The
corresponding overlaps are a fundamental input to most exact methods to treat
integrable quantum quenches. We construct and examine an infinite integral
equation hierarchy based on the form factor bootstrap, proposed earlier as a
set of conditions deter- mining the overlaps. Using quenches of the mass and
interaction in Sinh-Gordon theory as a concrete example, we present theoretical
arguments that the state has the squeezed coherent form expected for integrable
quenches, and supporting an Ansatz for the solution of the hierarchy. Moreover
we also develop an iterative method to solve numerically the lowest equation of
the hierarchy. The iterative solution along with extensive numerical checks
performed using the next equation of the hierarchy provide a strong numerical
evidence that the proposed Ansatz gives a very good approximation for the
solution.Comment: 36 pages, pdflatex file, 11 pdf figures. v2: revised version,
accepted for publicatio
Bessie on the Board Walk
https://digitalcommons.library.umaine.edu/mmb-vp/4685/thumbnail.jp
Documentation of the GLAS fourth order general circulation model. Volume 2: Scalar code
Volume 2, of a 3 volume technical memoranda contains a detailed documentation of the GLAS fourth order general circulation model. Volume 2 contains the CYBER 205 scalar and vector codes of the model, list of variables, and cross references. A variable name dictionary for the scalar code, and code listings are outlined
Exact Maximal Height Distribution of Fluctuating Interfaces
We present an exact solution for the distribution P(h_m,L) of the maximal
height h_m (measured with respect to the average spatial height) in the steady
state of a fluctuating Edwards-Wilkinson interface in a one dimensional system
of size L with both periodic and free boundary conditions. For the periodic
case, we show that P(h_m,L)=L^{-1/2}f(h_m L^{-1/2}) for all L where the
function f(x) is the Airy distribution function that describes the probability
density of the area under a Brownian excursion over a unit interval. For the
free boundary case, the same scaling holds but the scaling function is
different from that of the periodic case. Numerical simulations are in
excellent agreement with our analytical results. Our results provide an exactly
solvable case for the distribution of extremum of a set of strongly correlated
random variables.Comment: 4 pages revtex (two-column), 1 .eps figure include
High-field Zeeman effect of shallow acceptors in germanium
Zeeman absorption spectra have been obtained for B and Ga in Ge for Bâ„ă100ă in the Voigt configuration with plane-polarized radiation. All twelve allowed transitions were observed for both the G and D lines. The corresponding excited states of these two lines for both impurities behave identically; two recent theoretical results are in good agreement. The measurements are a sensitive probe of the ground states; there are differences between the behavior of these for the two acceptors
- âŠ