Gravitational wave driving of a gapped holographic system
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Springer
Received: April 16, 2019 Accepted: May 15, 2019 Published: May 24, 2019
Anxo Biasi,a,b Javier Masa,b and Alexandre Serantesc a
Departamento de F´ısica de Part´ıculas, Universidade de Santiago de Compostela, E-15782 Santiago de Compostela, Spain b Instituto Galego de F´ısica de Altas Enerx´ıas (IGFAE), E-15782 Santiago de Compostela, Spain c International Centre for Theoretical Sciences-TIFR, Survey No. 151, Shivakote, Hesaraghatta Hobli, Bengaluru North, 560 089, India
E-mail: [email protected], [email protected], [email protected] Abstract: This work addresses the response of a holographic conformal field theory to a homogeneous gravitational periodic driving. The dual geometry is the AdS-soliton, which models a strongly coupled quantum system in a gapped phase, on a compact domain. The response is a time-periodic geometry up to a driving amplitude threshold which decreases with the driving frequency. Beyond that, collapse to a black hole occurs, signaling decoherence and thermalization in the dual theory. At some frequencies, we also find a resonant coupling to the gravitational normal modes of the AdS-soliton, yielding a nonlinearly bound state. We also speculate on the possible uses of quantum strongly coupled systems to build resonant gravitational wave detectors. Keywords: AdS-CFT Correspondence, Gauge-gravity correspondence ArXiv ePrint: 1903.05618
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP05(2019)161
JHEP05(2019)161
Gravitational wave driving of a gapped holographic system
Contents 1 Introduction
1
2 The setup
2
3 Time-periodic solutions
4 9 13
5 Conclusions and outlook
17
A Equations of motion
19
1
Introduction
A periodic drive is one of the simplest, yet most fascinating, ways of taking a many-body quantum system out of equilibrium. The discrete time-translational invariance retained by the drive has crucial consequences for the description of the unitary evolution of the system; in particular, at stroboscopic times, the dynamics is controlled by an emergent, timeindependent hermitian operator: the Floquet Hamiltonian. This observation opens the possibility of driving otherwise autonomous systems to manufacture Floquet hamiltonians of physical relevance. The topic, which goes under the name of Floquet engineering, has been under intense scrutiny in recent years (see [1–4] for reviews). At the same time, fundamental questions regarding the late-time behavior of periodically driven, many-body quantum systems have also been thoroughly studied [5–7]. At the QFT level, less is known in comparison, although remarkable results have been obtained for scalar field theories with O(N ) symmetry at large N [8, 9]. In the large N limit, Holography is firmly established as a first-principles framework to deal with real-time physical problems in strongly coupled CFTs. Therefore, it provides an interesting starting point to increase our knowledge about periodically driven QFTs, a possibility that has not gone unnoticed [10–16]. In [17
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