Observation of Complex Bound States in the Spin-1/2 Heisenberg XXZ Chain Using Local Quantum Quenches
PHYSICAL REVIEW LETTERS 108:7 (2012) ARTN 077206
Large deviation function for the current in the open asymmetric simple exclusion process.
Phys Rev Lett 107:1 (2011) 010602
Abstract:
We consider the one-dimensional asymmetric exclusion process with particle injection and extraction at two boundaries. The model is known to exhibit four distinct phases in its stationary state. We analyze the current statistics at the first site in the low and high density phases. In the limit of infinite system size, we conjecture an exact expression for the current large deviation function.Quantum quench in the transverse-field Ising chain.
Phys Rev Lett 106:22 (2011) 227203
Abstract:
We consider the time evolution of observables in the transverse-field Ising chain after a sudden quench of the magnetic field. We provide exact analytical results for the asymptotic time and distance dependence of one- and two-point correlation functions of the order parameter. We employ two complementary approaches based on asymptotic evaluations of determinants and form-factor sums. We prove that the stationary value of the two-point correlation function is not thermal, but can be described by a generalized Gibbs ensemble (GGE). The approach to the stationary state can also be understood in terms of a GGE. We present a conjecture on how these results generalize to particular quenches in other integrable models.Ising deconfinement transition between Feshbach-resonant superfluids.
Phys Rev Lett 106:1 (2011) 015303
Abstract:
We investigate the phase diagram of bosons interacting via Feshbach-resonant pairing interactions in a one-dimensional lattice. Using large scale density matrix renormalization group and field theory techniques we explore the atomic and molecular correlations in this low-dimensional setting. We provide compelling evidence for an Ising deconfinement transition occurring between distinct superfluids and extract the Ising order parameter and correlation length of this unusual superfluid transition. This is supported by results for the entanglement entropy which reveal both the location of the transition and critical Ising degrees of freedom on the phase boundary.Boundary effects on the local density of states of one-dimensional Mott insulators and charge density wave states
PHYSICAL REVIEW B 83:3 (2011) ARTN 035111