Alberto Biella

TL;DR: In this article, the Liouvillian spectral gap has been studied in the critical region of the steady-state density matrix and the eigenmatrix of the spectral gap.

TL;DR: A general variational approach to determine the steady state of open quantum lattice systems via a neural-network approach is presented and applied to the dissipative quantum transverse Ising model.

TL;DR: In this paper, the key role of short-range fluctuations in dissipative phase transitions is theoretically demonstrated and can be experimentally reproduced in the future using trapped ions, Rydberg states of atoms, or microwave circuits.

TL;DR: In this article, measurement-induced phase transitions in the quantum Ising chain coupled to a monitoring environment were investigated and two different limits of the measurement problem, the stochastic quantum-state diffusion protocol corresponding to infinite small jumps per unit of time and the no-click limit, corresponding to post-selection and described by a non-Hermitian Hamiltonian, were compared.

TL;DR: In this paper, the authors studied the energy transport in a system of two half-infinite XXZ chains initially kept separated at different temperatures, and later connected and let free to evolve unitarily.