Abstract
This paper investigates the effect of light-matter interactions on correlated quantum matter. The non-local bosonic light field of an optical resonator drastically changes the phase transition in an Ising chain, with a tuning parameter that resembles a non-classical transverse magnetic field with quantized values
Highlights
The investigation of quantum critical behavior in correlated quantum many-body systems has been an active research field over many decades in condensed matter physics; intriguing universal behavior close to quantum critical points gives rise to many fascinating quantum materials with exciting collective effects
In this work we have combined two paradigmatic models, the Ising model from condensed matter physics and the Dicke Hamiltonian from quantum optics. The latter corresponds to a light-induced quantized magnetic field, and we consider the quantized transverse-field Ising model (QTFIM) as the paradigmatic model to study what one could call optomagnetism
We have investigated in detail the simplest, geometrically unfrustrated, geometry which is the one-dimensional chain, and we focused on the case ω0 = 0
Summary
The investigation of quantum critical behavior in correlated quantum many-body systems has been an active research field over many decades in condensed matter physics; intriguing universal behavior close to quantum critical points gives rise to many fascinating quantum materials with exciting collective effects. Recent theoretical [19] and experimental [20] endeavors with quantum gases have shown the occurrence of nonequilibrium phase transitions which are characterized by spinor self-ordering in the presence of quantum field driving We approach this interesting physical domain by adding the above mentioned most paradigmatic models for matter-matter and for light-matter interaction, namely, the nearest-neighbor Ising model and the Dicke Hamiltonian for N > 1 spins. In the strong-coupling superradiant limit the results are shown to exactly correspond to the ones predicted by the conventional transverse-field Ising model (TFIM) of the high-field polarized phase This is confirmed by numerical calculations for a finite number of spins. IV B to simplify the perturbation theory in the strong-coupling limit
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