Using the skew-Hopf pairing, we obtain ℛ-matrix for two-parameter quantum algebra Uv,t. We further construct a strict monoidal functor

In this Letter it is shown that dynamical quantum phase transitions in Loschmidt echos control the nonequilibrium dynamics of the order parameter after particular quantum quenches in systems with broken-symmetry phases. A direct connection between Loschmidt echos and the order parameter dynamics is established which links nonequilibrium microscopic probabilities to the system's macroscopic dyna...

The radiation caused by particles of one bunch in the collective electromagnetic eld of the short oncoming bunch is studied. Quantum e ects are calculated for the spectrum of radiated photons. Using this spectrum, the dependence of the relative energy loss on a quantum parameter is dicussed. It is shown that the behaviour of changes considerably with the increase of that parameter. In the class...

We have investigated an intriguing connection between bifurcations, reduced fidelity per lattice site, local order parameter, universal order parameter, entropy and quantum phase transitions in the ground state for quantum three-state Potts model with two coupled infinite-size ladder system, in the context of the tensor network algorithm. The tensor network algorithm produces degenerate symmetr...

Two new quantum anti-de Sitter so(4, 2) and de Sitter so(5, 1) algebras are presented. These deformations are called either ‘time-type’ or ‘space-type’ according to the dimensional properties of the deformation parameter. Their Hopf structure, universal R matrix and differential-difference realization are obtained in a unified setting by considering a contraction parameter related to the speed ...