Energy protection arguments fail in the interaction picture

Abstract

Spin Hamiltonians with degenerate ground states are one potential system for the storage of quantum information at low temperatures. Trapped ions can be used to simulate the dynamics of these Hamiltonians, but the coherence-preserving properties will be lost. This illustrates that a quantum simulation performed in an interaction frame will not thermalize with its environment.

7 pages, minor changes to figures and text

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• Laserless trapped-ion quantum simulations without spontaneous scattering using microtrap arrays
• Rashba cavity QED: a route towards the superradiant quantum phase transition
• Stroboscopic Generation of Topological Protection
• Finite temperature quantum simulation of stabilizer Hamiltonians
• Simulating spin systems with Majorana networks
• Monte Carlo analysis of critical phenomenon of the Ising model on memory stabilizer structures