Analog-digital quantum simulation of Dicke model with superconducting circuits
S. V. Remizova,b, A. A. Zhukova,c, W. V. Pogosova,d, Yu. E. Lozovike,a,f
aDukhov Research Institute of Automatics (VNIIA), 127055 Moscow, Russia
bV. A. Kotel'nikov Institute of Radio Engineering and Electronics RAS, 125009 Moscow, Russia
cNational Research Nuclear University (MEPhI), 115409 Moscow, Russia
dInstitute for Theoretical and Applied Electrodynamics RAS, 125412 Moscow, Russia
eInstitute of Spectroscopy RAS, 142190 Moscow, Russia
fNational Research University Higher School of Economics, 101000 Moscow, Russia
Abstract
We propose a concept of mixed analog-digital quantum simulation of
Dicke model with ensembles of superconducting qubits coupled to the
single-mode microwave resonators. Using both single-qubit and two-qubit
quantum logic gates, it should be possible to engineer different initial
conditions for the ensemble of qubits. Since qubits can interact through
the photon field of a common quantum resonator, it is attractive to
examine the time evolution of this system depending on various
characteristics of the initial state, including entanglement and
symmetry. We here study theoretically the dynamics of such systems taking
into account energy dissipation, pure decoherence as well as disorder in
qubits excitation frequencies, which are unavoidable for macroscopic
artificial quantum systems. We reveal unusual effects of these
imperfections on the dynamics.