Related Experiment Video
Updated: Aug 28, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Exactly solvable one-dimensional quantum models with gamma matrices
Yash Chugh1, Kusum Dhochak1, Uma Divakaran1
1Department of Physics, Indian Institute of Technology Palakkad, Palakkad 678 623, India.
Abstract:
In this paper we write exactly solvable generalizations of one-dimensional quantum XY and Ising-like models by using 2^{d}-dimensional gamma matrices as the degrees of freedom on each site. We show that these models result in quadratic Fermionic Hamiltonians with Jordan-Wigner-like transformations. We illustrate the techniques using a specific case of four-dimensional gamma matrices and explore the quantum phase transitions present in the model.
More Related Videos
Related Concept Videos
The Quantum-Mechanical Model of an Atom
The Pauli Exclusion Principle
Maxwell-Boltzmann Distribution: Problem Solving
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
Gauss's Law
Symmetry in Maxwell's Equations
Quantum Numbers

