27 citations · 35 across the 3 of their papers we have counts for
3 papers
Hilbert space geometry and quantum chaos
Rustem Sharipov, Anastasiia Tiutiakina, Alexander Gorsky +2
The quantum geometric tensor (QGT) characterizes the Hilbert space geometry of the eigenstates of a parameter-dependent Hamiltonian. In recent years, the QGT and related quantities…
Adiabatic gauge potential and integrability breaking with free fermions
Balázs Pozsgay, Rustem Sharipov, Anastasiia Tiutiakina +1
We revisit the problem of integrability breaking in free fermionic quantum spin chains. We investigate the so-called adiabatic gauge potential (AGP), which was recently proposed as…
Adiabatic eigenstate deformations and weak integrability breaking of Heisenberg chain
Pavel Orlov, Anastasiia Tiutiakina, Rustem Sharipov +3
We consider the spin-1/2 XXX chain weakly perturbed away from integrability by an isotropic next-to-nearest neighbor exchange interaction. Recently, it was conjectured that this mo…