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One-half of the Kibble-Zurek quench followed by free evolution
Michał Białończyk, Bogdan Damski
We drive the one-dimensional quantum Ising chain in the transverse field from the paramagnetic phase to the critical point and study its free evolution there. We analyze excitation…
Fidelity approach to quantum phase transitions in quantum Ising model
Bogdan Damski
Fidelity approach to quantum phase transitions uses the overlap between ground states of the system to gain some information about its quantum phases. Such an overlap is called fid…
The quantum Ising model: finite sums and hyperbolic functions
Bogdan Damski
We derive exact closed-form expressions for several sums leading to hyperbolic functions and discuss their applicability for studies of finite-size Ising spin chains. We show how t…
Counterdiabatic driving of the quantum Ising model
Bogdan Damski
The system undergoes adiabatic evolution when its population in the instantaneous eigenbasis of its time-dependent Hamiltonian changes only negligibly. Realization of such dynamics…
A quantum phase transition in a quantum external field: Superposing two magnetic phases
Marek M. Rams, Michael Zwolak, Bogdan Damski
We study an Ising chain undergoing a quantum phase transition in a quantum magnetic field. Such a field can be emulated by coupling the chain to a central spin initially in a super…
Scaling of ground state fidelity in the thermodynamic limit: XY model and beyond
Marek M. Rams, Bogdan Damski
We study ground state fidelity defined as the overlap between two ground states of the same quantum system obtained for slightly different values of the parameters of its Hamiltoni…