On the stability of dissipatively-prepared Mott insulators of photons

Abstract

Reservoir engineering is a powerful approach for using controlled driven-dissipative dynamics to prepare target quantum states and phases. In this work, we study a paradigmatic model that can realize a Mott insulator of photons in its steady-state. We show that, while in some regimes its steady state approximates a Mott-insulating ground state, this phase can become unstable through a non-equilibrium transition towards a coherent yet non-classical limit-cycle phase, driven by doublon excitations. This instability is completely distinct from the ground-state Mott-insulator to superfluid transition. This difference has dramatic observable consequences and leads to an intrinsic fragility of the steady-state Mott phase: a fast pump compared to losses is required to sustain the phase, but also determines a small critical hopping. We identify unique features of the steady-state Mott phase and its instability, that distinguish them from their ground-state counterpart and can be measured in experiments.

13 pages, 5 figures

References in corpus (17)

• Quantum fluids of light
• Circuit Quantum Electrodynamics
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Confining the state of light to a quantum manifold by engineered two-photon loss
• Absence of Quantum Time Crystals
• Real-time quantum error correction beyond break-even
• Non-equilibrium quantum condensation in an incoherently pumped dissipative system
• Engineered Dissipation for Quantum Information Science
• Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
• Universal stabilization of a parametrically coupled qubit
• Correlated bosons on a lattice: Dynamical mean-field theory for Bose-Einstein condensed and normal phases
• Induced self-stabilization in fractional quantum Hall states of light
• One hundred second bit-flip time in a two-photon dissipative oscillator
• The upside of noise: engineered dissipation as a resource in superconducting circuits
• Dissipative stabilization of squeezing beyond 3 dB in a microwave mode
• Stabilizing a Bosonic Qubit using Colored Dissipation
• Nonequilibrium dynamical mean-field theory for bosonic lattice models

Cited by in corpus (3)

• Many-Body Open Quantum Systems
• Universal phenomenology at critical exceptional points of nonequilibrium $O(N)$ models
• Reservoir Engineering for Classical Nonlinear Fields