Reply to ``Comment on `Z 2 -slave-spin theory for strongly correlated fermions'''

@article{Ruegg2013ReplyT,
  title={Reply to ``Comment on `Z 2 -slave-spin theory for strongly correlated fermions'''},
  author={Andreas Ruegg and Sebastian D. Huber and Manfred Sigrist},
  journal={Physical Review B},
  year={2013},
  volume={87},
  pages={037102}
}
We show that the physical subspace in the Z2-slave-spin theory is conserved under the time evolution of the system. Thus, when restricted to the physical subspace, this representation gives a complete and consistent description of the original problem. In addition, we review two known examples from the existing literature in which the projection onto the physical subspace can be relaxed: (i) the non-interacting limit in any dimension at half filling and (ii) the interacting model in the… 
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Comment on “ Z 2 -slave-spin theory for strongly correlated fermions”
insures that the on-site operator constraint Ai = 0 selects the physical subspace consistently with the time evolution generated by the Hamiltonian H . Here Di is some nonlocal operator constructed
Z 2 -slave-spin theory for strongly correlated fermions
We review a representation of Hubbard-like models that is based on auxiliary pseudospin variables. These pseudospins refer to the local charge modulo two in the original model and display a local
Sub-Ohmic two-level system representation of the Kondo effect
It has been recently shown that the particle-hole symmetric Anderson impurity model can be mapped onto a $Z_2$ slave-spin theory without any need of additional constraints. Here we prove by means of
Quantum Quenches in the Hubbard Model: Time Dependent Mean Field Theory and The Role of Quantum Fluctuations
We study the non equilibrium dynamics in the fermionic Hubbard model after a sudden change of the interaction strength. To this scope, we introduce a time dependent variational approach in the spirit
Topological order and semions in a strongly correlated quantum spin Hall insulator.
TLDR
This work identifies an exotic phase for large spin-orbit coupling and intermediate Hubbard interaction that is gapped and does not break any symmetry, and argues that it has gapless edge modes protected by time-reversal symmetry but a trivial Z(2) topological invariant.
Dynamically generated double occupancy as a probe of cold atom systems.
TLDR
It is found that conclusive evidence for a Mott phase can be inferred from such a measurement, provided that sufficiently low temperatures k_{B}T<<t can be reached.