507 research outputs found
Dynamical response functions in the quantum Ising chain with a boundary
We determine dynamical response functions in the scaling limit of the quantum Ising chain on the half line in
the presence of a boundary magnetic field. Using a spectral representation in
terms of infinite volume form factors and a boundary state, we derive an
expansion for the correlator that is found to be rapidly convergent as long as
|\frac{x_1+x_2}{\xi}|\agt 0.2 where is the correlation length. At
sufficiently late times we observe oscillatory behaviour of the correlations
arbitrarily far away from the boundary. We investigate the effects of the
boundary bound state that is present for a range of boundary magnetic fields.Comment: 32 page
Origin of the Mott Gap
We show exactly that the only charged excitations that exist in the
strong-coupling limit of the half-filled Hubbard model are gapped composite
excitations generated by the dynamics of the charge boson that appears
upon explicit integration of the high-energy scale. At every momentum, such
excitations have non-zero spectral weight at two distinct energy scales
separated by the on-site repulsion . The result is a gap in the spectrum for
the composite excitations accompanied by a discontinuous vanishing of the
density of states at the chemical potential when exceeds the bandwidth.
Consequently, we resolve the long-standing problem of the cause of the charge
gap in a half-filled band in the absence of symmetry breaking.Comment: 6 pages, 2 figures: Expanded Published versio
Determinant representation for a quantum correlation function of the lattice sine-Gordon model
We consider a completely integrable lattice regularization of the sine-Gordon
model with discrete space and continuous time. We derive a determinant
representation for a correlation function which in the continuum limit turns
into the correlation function of local fields. The determinant is then embedded
into a system of integrable integro-differential equations. The leading
asymptotic behaviour of the correlation function is described in terms of the
solution of a Riemann Hilbert Problem (RHP) related to the system of
integro-differential equations. The leading term in the asymptotical
decomposition of the solution of the RHP is obtained.Comment: 30 pages Latex2e, 2 Figures, epsf. Significantly extended and revised
versio
Quench Dynamics in a Model with Tuneable Integrability Breaking
We consider quantum quenches in an integrable quantum chain with
tuneable-integrability-breaking interactions. In the case where these
interactions are weak, we demonstrate that at intermediate times after the
quench local observables relax to a prethermalized regime, which can be
described by a density matrix that can be viewed as a deformation of a
generalized Gibbs ensemble. We present explicit expressions for the
approximately conserved charges characterizing this ensemble. We do not find
evidence for a crossover from the prethermalized to a thermalized regime on the
time scales accessible to us. Increasing the integrability-breaking
interactions leads to a behaviour that is compatible with eventual
thermalization.Comment: 22 pages, 35 figures, minor updates to manuscrip
Superconductivity generated by coupling to a Cooperon in a 2-dimensional array of 4-leg Hubbard ladders
Starting from an array of four-leg Hubbard ladders weakly doped away from
half-filling and weakly coupled by inter-ladder tunneling, we derive an
effective low energy model which contains a partially truncated Fermi surface
and a well defined Cooperon excitation formed by a bound pair of holes. An
attractive interaction in the Cooper channel is generated on the Fermi surface
through virtual scattering into the Cooperon state. Although the model is
derived in the weak coupling limit of a four-leg ladder array, an examination
of exact results on finite clusters for the strong coupling t-J model suggests
the essential features are also present for a strong coupling Hubbard model on
a square lattice near half-filling.Comment: 20 pages, 4 figure
Eight state supersymmetric model of strongly correlated fermions
An integrable eight state supersymmtric model is proposed, which is a
fermion model with correlated single-particle and pair hoppings as well as
uncorrelated triple-particle hopping. It has an supersymmetry and
contains one symmetry-preserving free parameter. The model is solved and the
Bethe ansatz equations are obtained.Comment: Some cosmetic changes; to appear in Phys. Rev.
Dynamical Structure Factor in Cu Benzoate and other spin-1/2 antiferromagnetic chains
Recent experiments of the quasi-one-dimensional spin-1/2 antiferromagnet
Copper Benzoate established the existence of a magnetic field induced gap. The
observed neutron scattering intensity exhibits resolution limited peaks at both
the antiferromagnetic wave number and at incommensurate wave numbers related to
the applied magnetic field. We determine the ratio of spectral weights of these
peaks within the framework of a low-energy effective field theory description
of the problem.Comment: 5 pages, 3figure
Algebraic Bethe Ansatz for Integrable Extended Hubbard Models Arising from Supersymmetric Group Solutions
Integrable extended Hubbard models arising from symmetric group solutions are
examined in the framework of the graded Quantum Inverse Scattering Method. The
Bethe ansatz equations for all these models are derived by using the algebraic
Bethe ansatz method.Comment: 15 pages, RevTex, No figures, to be published in J. Phys.
Exact Spectral Gaps of the Asymmetric Exclusion Process with Open Boundaries
We derive the Bethe ansatz equations describing the complete spectrum of the
transition matrix of the partially asymmetric exclusion process with the most
general open boundary conditions. By analysing these equations in detail for
the cases of totally asymmetric and symmetric diffusion, we calculate the
finite-size scaling of the spectral gap, which characterizes the approach to
stationarity at large times. In the totally asymmetric case we observe boundary
induced crossovers between massive, diffusive and KPZ scaling regimes. We
further study higher excitations, and demonstrate the absence of oscillatory
behaviour at large times on the ``coexistence line'', which separates the
massive low and high density phases. In the maximum current phase, oscillations
are present on the KPZ scale . While independent of the
boundary parameters, the spectral gap as well as the oscillation frequency in
the maximum current phase have different values compared to the totally
asymmetric exclusion process with periodic boundary conditions. We discuss a
possible interpretation of our results in terms of an effective domain wall
theory.Comment: 42 pages, 25 figures; added appendix and minor correction
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