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Quantum Electrodynamical Bloch Theory with Homogeneous Magnetic Fields

MPS-Authors
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Rokaj,  V.
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;

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Penz,  M.
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;

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Sentef,  M. A.
Theoretical Description of Pump-Probe Spectroscopies in Solids, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;

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Ruggenthaler,  M.
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;

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Rubio,  A.
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Computational Quantum Physics (CCQ), Flatiron Institute;

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PhysRevLett.123.047202.pdf
(Publisher version), 639KB

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Citation

Rokaj, V., Penz, M., Sentef, M. A., Ruggenthaler, M., & Rubio, A. (2019). Quantum Electrodynamical Bloch Theory with Homogeneous Magnetic Fields. Physical Review Letters, 123(4): 047202. doi:10.1103/PhysRevLett.123.047202.


Cite as: https://hdl.handle.net/21.11116/0000-0002-15D8-3
Abstract
We propose a solution to the problem of Bloch electrons in a homogeneous magnetic field by including the quantum fluctuations of the photon field. A generalized quantum electrodynamical (QED) Bloch theory from first principles is presented. In the limit of vanishing quantum fluctuations we recover the standard results of solid-state physics, the fractal spectrum of the Hofstadter butterfly. As a further application we show how the well known Landau physics is modified by the photon field and that Landau polaritons emerge. This shows that our QED-Bloch theory does not only allow to capture the physics of solid-state systems in homogeneous magnetic fields, but also novel features that appear at the interface of condensed matter physics and quantum optics.