Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-07-16
Phys. Rev. B 82, 144423 (2010) (Editors' Suggestion)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
21 pages, 18 figures
Scientific paper
10.1103/PhysRevB.82.144423
We analyze the static and dynamical properties of two Ising-coupled quantum spins embedded in a common bosonic bath as an archetype of dissipative quantum mechanics. First, we elucidate the ground state phase diagram for an ohmic and a subohmic bath using a combination of bosonic numerical renormalization group (NRG), analytical techniques and intuitive arguments. Second, employing the time-dependent NRG we investigate the system's rich dynamical behavior arising from the complex interplay between spin-spin and spin-bath interactions. Interestingly, spin oscillations can synchronize due to the proximity of the common non-Markovian bath and the system displays highly entangled steady states for certain nonequilibrium initial preparations. We complement our non-perturbative numerical results by exact analytical solutions when available and provide quantitative limits on the applicability of the perturbative Bloch-Redfield approach at weak coupling.
Hofstetter Walter
Hur Karyn Le
Orth Peter P.
Roosen David
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