Abstract
We study the response of a (2+1)-dimensional gauge theory to an external rotating electric field. In the strong coupling regime such system is formulated holographically in a top-down model constructed by intersecting D3- and D5-branes along 2+1 dimensions, in the quenched approximation, in which the D5-brane is a probe in the AdS5 × {mathbbm{S}}^5 geometry. The system has a non-equilibrium phase diagram with conductive and insulator phases. The external driving induces a rotating current due to vacuum polarization (in the insulator phase) and to Schwinger effect (in the conductive phase). For some particular values of the driving frequency the external field resonates with the vector mesons of the model and a rotating current can be produced even in the limit of vanishing driving field. These features are in common with the (3+1) dimensional setup based on the D3-D7 brane model [26, 27] and hint on some interesting universality. We also compute the conductivities paying special attention to the photovoltaic induced Hall effect, which is only present for massive charged carriers. In the vicinity of the Floquet condensate the optical Hall coefficient persists at zero driving field, signalling time reversal symmetry breaking.
Highlights
The physics of periodically driven quantum systems has been the subject of intense study in recent years
We study the response of a (2+1)-dimensional gauge theory to an external rotating electric field
In the strong coupling regime such system is formulated holographically in a top-down model constructed by intersecting D3- and D5-branes along 2+1 dimensions, in the quenched approximation, in which the D5-brane is a probe in the AdS5 × S5 geometry
Summary
The physics of periodically driven quantum systems has been the subject of intense study in recent years (see [1,2,3,4] for reviews with tons of citations). A probe brane with an electric field in his worldvolume can develop an event horizon in the effective (open string) metric on its worldvolume This is analogous, but not the same, to the case in which the brane is embedded in a black hole background geometry with a non-zero Hawking temperature [37,38,39]. In the so-called Minkowski embeddings the brane reaches the origin of AdS4 without developing the effective horizon These Minkowski configurations are dual to the insulating phase of the defect gauge theory. The exact conductivities for the massless case are obtained in appendix D
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
