Dissipative Phase Transition in Central Spin Systems

Abstract

We investigate dissipative phase transitions in an open central spin system. In our model the central spin interacts coherently with the surrounding many-particle spin environment and is subject to coherent driving and dissipation. We develop analytical tools based on a self-consistent Holstein-Primakoff approximation that enable us to determine the complete phase diagram associated with the steady states of this system. It includes first and second-order phase transitions, as well as regions of bistability, spin squeezing and altered spin pumping dynamics. Prospects of observing these phenomena in systems such as electron spins in quantum dots or NV centers coupled to lattice nuclear spins are briefly discussed.

23 pages, 11 figures, typos corrected

References in corpus (8)

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• Phase diagram and critical exponents of a dissipative Ising spin chain in a transverse magnetic field
• Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation
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• Universal non-equilibrium properties of dissipative Rydberg gases
• Dissipative Dynamics and Phase Transitions in Fermionic Systems
• Reservoir engineering and dynamical phase transitions in optomechanical arrays
• Characterization of dynamical phase transitions in quantum jump trajectories beyond the properties of the stationary state
• Dissipative phase transitions: Independent versus collective decay and spin squeezing
• Dynamic nuclear polarization as kinetically constrained diffusion
• Dynamical and Steady State Properties of a Bose-Hubbard Chain with Bond-Dissipation: A Study based on Matrix Product Operators
• Superradiance-like Electron Transport through a Quantum Dot
• Criticality in transport through the quantum Ising chain
• Sanov and Central Limit Theorems for output statistics of quantum Markov chains
• Damping of quasiparticles in a Bose-Einstein condensate coupled to an optical cavity
• Transport as a sensitive indicator of quantum criticality