Effects of quantum deformation on the Jaynes-Cummings and anti-Jaynes-Cummings models

First-order transitions in spin chains coupled to quantum baths

“…In this letter, the spin-bath interaction is further tailored with the aim to induce first order transitions. In particular, we study zero temperature stationary properties of the transverse field Ising chain with one-half spins coupled to bosonic local baths in the Ohmic regime through a term which, for a single spin, is a combination of Jaynes-Cummings and anti-Jaynes-Cummings interactions [19,20]. We use the numerically exact QMC method up to the thermodynamic limit showing that the spin couplings considered in this work are able to drive the phase transition from the second to the first order also for a low dissipation strength.…”

“…All the local baths are assumed to have the same frequency spectrum ω k (independent of the site i). Finally, the spin-bath coupling combines Jaynes-Cummings (rotating) and anti-Jaynes-Cummings (counter-rotating) interactions [19,20] through the dimensionless bath parameter γ:…”