



@article {1906,
	title = {Emergent equilibrium in many-body optical bistability},
	journal = {Physical Review A},
	volume = {95},
	year = {2017},
	month = {2017/04/17},
	pages = {043826},
	abstract = {<p><span style="font-family: \&quot;Lucida Grande\&quot;, helvetica, arial, verdana, sans-serif; font-size: 14.4px;">Many-body systems constructed of quantum-optical building blocks can now be realized in experimental platforms ranging from exciton-polariton fluids to ultracold gases of Rydberg atoms, establishing a fascinating interface between traditional many-body physics and the driven-dissipative, non-equilibrium setting of cavity-QED. At this interface, the standard techniques and intuitions of both fields are called into question, obscuring issues as fundamental as the role of fluctuations, dimensionality, and symmetry on the nature of collective behavior and phase transitions. Here, we study the driven-dissipative Bose-Hubbard model, a minimal description of numerous atomic, optical, and solid-state systems in which particle loss is countered by coherent driving. Despite being a lattice version of optical bistability---a foundational and patently non-equilibrium model of cavity-QED---the steady state possesses an emergent equilibrium description in terms of a classical Ising model. We establish this picture by identifying a limit in which the quantum dynamics is asymptotically equivalent to non-equilibrium Langevin equations, which support a phase transition described by model A of the Hohenberg-Halperin classification. Numerical simulations of the Langevin equations corroborate this picture, producing results consistent with the behavior of a finite-temperature Ising model.</span></p>},
	doi = {doi.org/10.1103/PhysRevA.95.043826},
	url = {https://journals.aps.org/pra/abstract/10.1103/PhysRevA.95.043826},
	author = {Michael Foss-Feig and Pradeep Niroula and Jeremy T. Young and Mohammad Hafezi and Alexey V. Gorshkov and Ryan M. Wilson and Mohammad F. Maghrebi}
}
@article {1526,
	title = {Entanglement entropy of dispersive media from thermodynamic entropy in  one higher dimension},
	journal = {Physical Review Letters},
	volume = {114},
	year = {2015},
	month = {2015/04/16},
	pages = {151602},
	abstract = {  A dispersive medium becomes entangled with zero-point fluctuations in the
vacuum. We consider an arbitrary array of material bodies weakly interacting
with a quantum field and compute the quantum mutual information between them.
It is shown that the mutual information in D dimensions can be mapped to
classical thermodynamic entropy in D+1 dimensions. As a specific example, we
compute the mutual information both analytically and numerically for a range of
separation distances between two bodies in D=2 dimensions and find a
logarithmic correction to the area law at short separations. A key advantage of
our method is that it allows the strong subadditivity property---notoriously
difficult to prove for quantum systems---to be easily verified.
},
	doi = {10.1103/PhysRevLett.114.151602},
	url = {http://arxiv.org/abs/1412.5613v2},
	author = {Mohammad F. Maghrebi and Homer Reid}
}
@article {1523,
	title = {Electromagnetic Casimir Energies of Semi-Infinite Planes},
	journal = {EPL (Europhysics Letters)},
	volume = {95},
	year = {2011},
	month = {2011/07/01},
	pages = {14001},
	abstract = {  Using recently developed techniques based on scattering theory, we find the
electromagnetic Casimir energy for geometries involving semi-infinite planes, a
case that is of particular interest in the design of microelectromechanical
devices. We obtain both approximate analytic formulae and exact results
requiring only modest numerical computation. Using these results, we analyze
the effects of edges and orientation on the Casimir energy. We also demonstrate
the accuracy, simplicity, and utility of our approximation scheme, which is
based on a multiple reflection expansion.
},
	doi = {10.1209/0295-5075/95/14001},
	url = {http://arxiv.org/abs/1102.1486v1},
	author = {Mohammad F. Maghrebi and Noah Graham}
}
@article {1521,
	title = {Entropic force of polymers on a cone tip},
	journal = {EPL (Europhysics Letters)},
	volume = {96},
	year = {2011},
	month = {2011/12/01},
	pages = {66002},
	abstract = {  We consider polymers attached to the tip of a cone, and the resulting force
due to entropy loss on approaching a plate (or another cone). At separations
shorter than the polymer radius of gyration R_g, the only relevant length scale
is the tip-plate (or tip-tip) separation h, and the entropic force is given by
F=A kT/h. The universal amplitude A can be related to (geometry dependent)
correlation exponents of long polymers. We compute A for phantom polymers, and
for self-avoiding (including star) polymers by epsilon-expansion, as well as by
numerical simulations in 3 dimensions.
},
	doi = {10.1209/0295-5075/96/66002},
	url = {http://arxiv.org/abs/1109.5658v2},
	author = {Mohammad F. Maghrebi and Yacov Kantor and Mehran Kardar}
}
