# Integrable boundaries for the q-Hahn process

@article{Frassek2022IntegrableBF, title={Integrable boundaries for the q-Hahn process}, author={Rouven Frassek}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2022}, volume={55} }

Taking inspiration from the harmonic process with reservoirs introduced by Frassek, Giardinà and Kurchan in (2020 J. Stat. Phys. 180 135–71), we propose integrable boundary conditions for its trigonometric deformation, which is known as the q-Hahn process. Following the formalism established by Mangazeev and Lu in (2019 Nucl. Phys. B 945 114665) using the stochastic R-matrix, we argue that the proposed boundary conditions can be derived from a transfer matrix constructed in the framework of…

## One Citation

### Integrable heat conduction model

- Mathematics
- 2022

We consider a stochastic process of heat conduction where energy is redistributed along a chain between nearest neighbor sites via an improper beta distribution. Similar to the well-known…

## References

SHOWING 1-10 OF 35 REFERENCES

### The $q$-Hahn asymmetric exclusion process

- Mathematics
- 2015

We introduce new integrable exclusion and zero-range processes on the one-dimensional lattice that generalize the $q$-Hahn TASEP and the $q$-Hahn Boson (zero-range) process introduced in [Pov13] and…

### Bethe Ansatz and Q-operator for the open ASEP

- Mathematics
- 2014

In this paper, we look at the asymmetric simple exclusion process with open boundaries with a current-counting deformation. We construct a two-parameter family of transfer matrices which commute with…

### SOLITONS, BOUNDARIES, AND QUANTUM AFFINE ALGEBRAS

- Mathematics
- 2002

GUSTAV W DELIUSAbstract. This is a condensed write-up of a talk delivered at the Ramanu-jan International Symposium on Kac-Moody Lie algebras and Applications inChennai in January 2002. The talk…

### Exact solution of an integrable non-equilibrium particle system

- MathematicsJournal of Mathematical Physics
- 2022

We consider the integrable family of symmetric boundary-driven interacting particle systems that arise from the non-compact XXX Heisenberg model in one dimension with open boundaries. In contrast to…

### On the integrability of zero-range chipping models with factorized steady states

- Mathematics
- 2013

The conditions of the integrability of general zero range chipping models with factorized steady states, which were proposed in Evans et al (2004 J. Phys. A: Math. Gen. 37 L275), are examined. We…

### Duality and Hidden Symmetries in Interacting Particle Systems

- Mathematics
- 2009

In the context of Markov processes, both in discrete and continuous setting, we show a general relation between duality functions and symmetries of the generator. If the generator can be written in…

### Integrable heat conduction model

- Mathematics
- 2022

We consider a stochastic process of heat conduction where energy is redistributed along a chain between nearest neighbor sites via an improper beta distribution. Similar to the well-known…

### The non-compact XXZ spin chain as stochastic particle process

- MathematicsJournal of Physics A: Mathematical and Theoretical
- 2019

In this note we relate the Hamiltonian of the integrable non-compact spin s XXZ chain to the Markov generator of a stochastic particle process. The hopping rates of the continuous-time process are…