# The Fredkin staircase: An integrable system with a finite-frequency Drude peak

@inproceedings{Singh2022TheFS, title={The Fredkin staircase: An integrable system with a finite-frequency Drude peak}, author={Hansveer Singh and Romain Vasseur and Sarang Gopalakrishnan}, year={2022} }

We introduce and explore an interacting integrable cellular automaton, the Fredkin staircase, that lies outside the existing classiﬁcation of such automata, and has a structure that seems to lie beyond that of any existing Bethe-solvable model. The Fredkin staircase has two families of ballistically propagating quasiparticles, each with inﬁnitely many species. Despite the presence of ballistic quasiparticles, charge transport is diﬀusive in the d.c. limit, albeit with a highly non-gaussian…

## References

SHOWING 1-10 OF 11 REFERENCES

Slow dynamics and large deviations in classical stochastic Fredkin chains

- Physics
- 2022

The Fredkin spin chain serves as an interesting theoretical example of a quantum Hamiltonian whose ground state exhibits a phase transition between three distinct phases, one of which violates the…

Subdiffusion and Many-Body Quantum Chaos with Kinetic Constraints

- PhysicsPhysical Review Letters
- 2021

We investigate the spectral and transport properties of many-body quantum systems with conserved charges and kinetic constraints. Using random unitary circuits, we compute ensembleaveraged spectral…

Kinetically Constrained Models

- Mathematics
- 2009

Kinetically constrained spin models (KCSM) are interacting particle systems which are intensively studied in physics literature as models for systems undergoing glass or jamming transitions. KCSM…

Ergodicity and hydrodynamic projections in quantum spin lattices at all frequencies and wavelengths

- Physics
- 2021

Obtaining rigorous and general results about the quantum dynamics of extended many-body systems is a difficult task. Given the panoply of phenomena that can be observed and are being investigated, it…

Fredkin Spin Chain

- Physics
- 2016

We introduce a new model of interacting spin 1/2. It describes interaction of three nearest neighbors. The Hamiltonian can be expressed in terms of Fredkin gates. The Fredkin gate (also known as the…

The density-matrix renormalization group in the age of matrix product states

- Computer Science
- 2011

Introduction to the Special Issue on Emergent Hydrodynamics in Integrable Many-Body Systems

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2022

Alvise Bastianello, Bruno Bertini4,5,∗, Benjamin Doyon and Romain Vasseur 1 Department of Physics, Technical University of Munich, 85748 Garching, Germany 2 Institute for Advanced Study, 85748…

Finite automata for caching in matrix product algorithms

- Computer Science
- 2008

Connecting complex weighted finite state automata to matrix product factorizations of states and operators yields insight into what allows for efficient caching in matrix product algorithms.

Friedman , “ Subdi ff usion and many - body quantum chaos with kinetic constraints

- Physical Review Letters

Friedman

- Physical Review Letters
- 2021