A quantum clock can be biased by a quench-generated non-equilibrium spin-chain state, with the bias condition set by the sign of the steady-state response function.
The quantum Ising chain for beginners
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abstract
We present here various techniques to work with clean and disordered quantum Ising chains, for the benefit of students and non-experts. Starting from the Jordan-Wigner transformation, which maps spin-1/2 systems into fermionic ones, we review some of the basic approaches to deal with the superconducting correlations that naturally emerge in this context. In particular, we analyse the form of the ground state and excitations of the model, relating them to the symmetry-breaking physics, and illustrate aspects connected to calculating dynamical quantities, thermal averages, correlation functions and entanglement entropy. A few problems provide simple applications of the techniques.
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Powering a quantum clock with a non-equilibrium steady state
A quantum clock can be biased by a quench-generated non-equilibrium spin-chain state, with the bias condition set by the sign of the steady-state response function.