



01534nas a2200169   4500008004100000245006200041210005800103260001500161490000800176520102300184100002301207700002201230700002301252700002501275700002701300856003701327       2017                        eng d00aA solvable family of driven-dissipative many-body systems0 asolvable family of drivendissipative manybody systems  c2017/11/100 v1193 a<p>Exactly solvable models have played an important role in establishing the sophisticated modern understanding of equilibrium many-body physics. And conversely, the relative scarcity of solutions for non-equilibrium models greatly limits our understanding of systems away from thermal equilibrium. We study a family of nonequilibrium models, some of which can be viewed as dissipative analogues of the transverse-field Ising model, in that an effectively classical Hamiltonian is frustrated by dissipative processes that drive the system toward states that do not commute with the Hamiltonian. Surprisingly, a broad and experimentally relevant subset of these models can be solved efficiently in any number of spatial dimensions. We leverage these solutions to prove a no-go theorem on steady-state phase transitions in a many-body model that can be realized naturally with Rydberg atoms or trapped ions, and to compute the effects of decoherence on a canonical trapped-ion-based quantum computation architecture.</p>1 aFoss-Feig, Michael1 aYoung, Jeremy, T.1 aAlbert, Victor, V.1 aGorshkov, Alexey, V.1 aMaghrebi, Mohammad, F.  uhttps://arxiv.org/abs/1703.0462601278nas a2200205   4500008004100000245009000041210006900131260001400200490000700214520065300221100001600874700001300890700002000903700002700923700002100950700001800971700002500989700002101014856003701035       2014                        eng d00aScattering resonances and bound states for strongly interacting Rydberg  polaritons
0 aScattering resonances and bound states for strongly interacting   c2014/11/30 v903 a  We provide a theoretical framework describing slow-light polaritons
interacting via atomic Rydberg states. We use a diagrammatic method to
analytically derive the scattering properties of two polaritons. We identify
parameter regimes where polariton-polariton interactions are repulsive.
Furthermore, in the regime of attractive interactions, we identify multiple
two-polariton bound states, calculate their dispersion, and study the resulting
scattering resonances. Finally, the two-particle scattering properties allow us
to derive the effective low-energy many-body Hamiltonian. This theoretical
platform is applicable to ongoing experiments.
1 aBienias, P.1 aChoi, S.1 aFirstenberg, O.1 aMaghrebi, Mohammad, F.1 aGullans, Michael1 aLukin, M., D.1 aGorshkov, Alexey, V.1 aBüchler, H., P.  uhttp://arxiv.org/abs/1402.7333v101136nas a2200145   4500008004100000245005800041210005600099260001300155490000700168520070900175100002700884700002300911700001900934856003700953       2013                        eng d00aA Scattering Approach to the Dynamical Casimir Effect0 aScattering Approach to the Dynamical Casimir Effect  c2013/1/70 v873 a  We develop a unified scattering approach to dynamical Casimir problems which
can be applied to both accelerating boundaries, as well as dispersive objects
in relative motion. A general (trace) formula is derived for the radiation from
accelerating boundaries. Applications are provided for objects with different
shapes in various dimensions, and undergoing rotational or linear motion.
Within this framework, photon generation is discussed in the context of a
modulated optical mirror. For dispersive objects, we find general results
solely in terms of the scattering matrix. Specifically, we discuss the vacuum
friction on a rotating object, and the friction on an atom moving parallel to a
surface.
1 aMaghrebi, Mohammad, F.1 aGolestanian, Ramin1 aKardar, Mehran  uhttp://arxiv.org/abs/1210.1842v200969nas a2200145   4500008004100000245006800041210006700109260001300176490000800189520052100197100002700718700002200745700001900767856003700786       2012                        eng d00aSpontaneous emission by rotating objects: A scattering approach0 aSpontaneous emission by rotating objects A scattering approach  c2012/6/70 v1083 a  We study the quantum electrodynamics (QED) vacuum in the presence of a body
rotating along its axis of symmetry and show that the object spontaneously
emits energy if it is lossy. The radiated power is expressed as a general trace
formula solely in terms of the scattering matrix, making an explicit connection
to the conjecture of Zel'dovich [JETP Lett. 14, 180 (1971)] on rotating
objects. We further show that a rotating body drags along nearby objects while
making them spin parallel to its own rotation axis.
1 aMaghrebi, Mohammad, F.1 aJaffe, Robert, L.1 aKardar, Mehran  uhttp://arxiv.org/abs/1202.1485v2