Nonequilibrium phases in hybrid arrays with flux qubits and NV centers
Thomas H\"ummer, Georg M. Reuther, Peter H\"anggi, David Zueco

TL;DR
This paper proposes a hybrid quantum system combining flux qubits and NV centers to simulate localization-delocalization transitions, enabling experimental observation and control of quantum phase changes in a Jaynes-Cummings-lattice framework.
Contribution
It introduces a novel hybrid architecture with qubit-mediated interactions for studying phase transitions, distinct from traditional cavity-coupled arrays.
Findings
Demonstrates the feasibility of monitoring phase transitions non-equilibrium scenarios.
Shows the system can be tuned in-situ for different coupling regimes.
Highlights advantages over cavity-based lattices in dimensionality and control.
Abstract
We propose a startling hybrid quantum architecture for simulating a localization-delocalization transition. The concept is based on an array of superconducting flux qubits which are coupled to a diamond crystal containing nitrogen-vacancy (NV) centers. The underlying description is a Jaynes-Cummings-lattice in the strong-coupling regime. However, in contrast to well-studied coupled cavity arrays the interaction between lattice sites is mediated here by the qubit rather than by the oscillator degrees of freedom. Nevertheless, we point out that a transition between a localized and a delocalized phase occurs in this system as well. We demonstrate the possibility of monitoring this transition in a non-equilibrium scenario, including decoherence effects. The proposed scheme allows the monitoring of localization-delocalization transitions in Jaynes-Cummings-lattices by use of currently…
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