169 citations · 1.3k across the 50 of their papers we have counts for
15 papers · 1 filter
A curious mapping between supersymmetric quantum chains
Gyorgy Z. Feher, Alexandr Garbali, Jan de Gier +1
We present a unitary transformation relating two apparently different supersymmetric lattice models in one dimension. The first \cite{FS07} describes semionic particles on a 1D lad…
Exclusion in a priority queue
Jan de Gier, Caley Finn
We introduce the prioritising exclusion process, a stochastic scheduling mechanism for a priority queueing system in which high priority customers gain advantage by overtaking low…
Relaxation rate of the reverse biased asymmetric exclusion process
Jan de Gier, Caley Finn, Mark Sorrell
We compute the exact relaxation rate of the partially asymmetric exclusion process with open boundaries, with boundary rates opposing the preferred direction of flow in the bulk. T…
Current large deviation function for the open asymmetric simple exclusion process
Jan de Gier, Fabian H. L. Essler
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 sta…
Autocorrelations in the totally asymmetric simple exclusion process and Nagel-Schreckenberg model
Jan de Gier, Timothy M. Garoni, Zongzheng Zhou
We study via Monte Carlo simulation the dynamics of the Nagel-Schreckenberg model on a finite system of length L with open boundary conditions and parallel updates. We find numeric…
One-boundary Temperley-Lieb algebras in the XXZ and loop models
A. Nichols, V. Rittenberg, J. de Gier
We give an exact spectral equivalence between the quantum group invariant XXZ chain with arbitrary left boundary term and the same XXZ chain with purely diagonal boundary terms. Th…
Stochastic processes and conformal invariance
Jan de Gier, Bernard Nienhuis, Paul A. Pearce +1
We discuss a one-dimensional model of a fluctuating interface with a dynamic exponent . The events that occur are adsorption, which is local, and desorption which is non-local…
The quantum symmetric XXZ chain at Delta=-1/2, alternating sign matrices and plane partitions
M. T. Batchelor, J. de Gier, B. Nienhuis
We consider the groundstate wavefunction of the quantum symmetric antiferromagnetic XXZ chain with open and twisted boundary conditions at , along with the groundstate wa…
Exactly solvable su(N) mixed spin ladders
M. T. Batchelor, J. de Gier, M. Maslen
It is shown that solvable mixed spin ladder models can be constructed from su(N) permutators. Heisenberg rung interactions appear as chemical potential terms in the Bethe Ansatz so…
Magnetization Plateaus in a Solvable 3-Leg Spin Ladder
J. de Gier, M. T. Batchelor
We present a solvable ladder model which displays magnetization plateaus at fractional values of the total magnetization. Plateau signatures are also shown to exist along special l…
Phase diagram of the su(8) quantum spin tube
J. de Gier, M. T. Batchelor, M. Maslen
We calculate the phase diagram of an integrable anisotropic 3-leg quantum spin tube connected to the su(8) algebra. We find several quantum phase transitions for antiferromagnetic…
Exactly solvable quantum spin ladders associated with the orthogonal and symplectic Lie algebras
M. T. Batchelor, J. de Gier, J. Links +1
We extend the results of spin ladder models associated with the Lie algebras to the case of the orthogonal and symplectic algebras where n is the numbe…
Exact Stationary State for an ASEP with Fully Parallel Dynamics
Jan de Gier, Bernard Nienhuis
The exact stationary state of an asymmetric exclusion process with fully parallel dynamics is obtained using the matrix product Ansatz. We give a simple derivation for the determin…
Bethe Ansatz solution of a decagonal rectangle triangle random tiling
Jan de Gier, Bernard Nienhuis
A random tiling of rectangles and triangles displaying a decagonal phase is solved by Bethe Ansatz. Analogously to the solutions of the dodecagonal square triangle and the octagona…
Solvable Rectangle Triangle Random Tilings
Jan de Gier, Bernard Nienhuis
We show that a rectangle triangle random tiling with a tenfold symmetric phase is solvable by Bethe Ansatz. After the twelvefold square triangle and the eightfold rectangle triangl…