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Exploring adiabatic quantum trajectories via optimal control
"... Abstract. Adiabatic quantum computation employs a slow change of a timedependent control function (or functions) to interpolate between an initial and final Hamiltonian, which helps to keep the system in the instantaneous ground state. When the evolution time is finite, the degree of adiabaticity ( ..."
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Abstract. Adiabatic quantum computation employs a slow change of a timedependent control function (or functions) to interpolate between an initial and final Hamiltonian, which helps to keep the system in the instantaneous ground state. When the evolution time is finite, the degree of adiabaticity
An Infinite Set of Ward Identities for Adiabatic Modes in Cosmology
"... We show that the correlation functions of any singlefield cosmological model with constant growingmodes are constrained by an infinite number of novel consistency relations, which relate N + 1point correlation functions with a softmomentum scalar or tensor mode to a symmetry transformation on N ..."
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We show that the correlation functions of any singlefield cosmological model with constant growingmodes are constrained by an infinite number of novel consistency relations, which relate N + 1point correlation functions with a softmomentum scalar or tensor mode to a symmetry transformation on Npoint correlation functions of hardmomentum modes. We derive these consistency relations from Ward identities for an infinite tower of nonlinearly realized global symmetries governing scalar and tensor perturbations. These symmetries can be labeled by an integer n. At each order n, the consistency relations constrain — completely for n = 0, 1, and partially for n ≥ 2 — the qn behavior of the soft limits. The identities at n = 0 recover Maldacena’s original consistency relations for a soft scalar and tensor mode, n = 1 gives the recentlydiscovered conformal consistency relations, and the identities for n ≥ 2 are new. As a check, we verify directly that the n = 2 identity is satisfied by known correlation functions in slowroll inflation. ar X iv
2.1.1 Orthodoxy
"... I discuss Julian Barbour's Machian theories of dynamics, and his proposal that a Machian perspective enables one to solve the problem of time in quantum geometrodynamics (by saying that there is no time!). I concentrate on his recent ..."
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I discuss Julian Barbour's Machian theories of dynamics, and his proposal that a Machian perspective enables one to solve the problem of time in quantum geometrodynamics (by saying that there is no time!). I concentrate on his recent
Physics
, 2011
"... Ultracold atoms in optical lattices provide a highly controllable environment for the clean experimental realization of various model Hamiltonians from condensed matter and statistical physics. For example, the twocomponent BoseHubbard model, which reduces to an anisotropic spin1/2 Heisenberg m ..."
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model in a certain limit and thus allows for the study of quantum magnetism, can be implemented by using bosons with two different internal states that couple differently to an optical lattice potential. In this thesis, I present our first experiments with twocomponent hyperfinestate mixtures
Review Theoretical Methods of Domain Structures in Ultrathin Ferroelectric Films: A Review
, 2014
"... www.mdpi.com/journal/materials ..."
École Doctorale de Physique de la Région Parisienne ED 107 Thèse de doctorat
"... Sujet de la thèse: Dynamique quantique horséquilibre et systèmes désordonnés pour des atomes ultrafroids bosoniques présentée par Bruno Sciolla pour obtenir le grade de Docteur de l’Université Parissud 11 Directeur de thèse: Henri Orland Thèse préparée sous la direction de Giulio Biroli ..."
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Sujet de la thèse: Dynamique quantique horséquilibre et systèmes désordonnés pour des atomes ultrafroids bosoniques présentée par Bruno Sciolla pour obtenir le grade de Docteur de l’Université Parissud 11 Directeur de thèse: Henri Orland Thèse préparée sous la direction de Giulio Biroli
Optimal conversion of an atomic to a molecular BoseEinstein condensate
"... The work in this article extends the optimal control framework of variational calculus to optimize the conversion of a BoseEinstein condensate of atoms to one of molecules. It represents the derivation of the closed form optimal control equations for a system governed by a nonlinear Schrödinger eq ..."
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particle quantum dynamics reduced to effective oneparticle quantum motion often give rise to nonlinear Hamiltonians and Schrödinger equations. An example is the GrossPitaevskii ͑GP͒ equation, which provides a highly successful framework for describing BoseEinstein condensates ͑BECs͒ based on mean field theory
Accepted by....
, 2010
"... In this thesis, two sets of experimental studies in bosonic and fermionic gases are described. In the first part of the thesis, itinerant ferromagnetism was studied in a strongly interacting Fermi gas of ultracold atoms. The observation of nonmonotonic behavior of lifetime, kinetic energy, and size ..."
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In this thesis, two sets of experimental studies in bosonic and fermionic gases are described. In the first part of the thesis, itinerant ferromagnetism was studied in a strongly interacting Fermi gas of ultracold atoms. The observation of nonmonotonic behavior of lifetime, kinetic energy, and size for increasing repulsive interactions provides strong evidence for a phase transition to a ferromagnetic state. Our observations imply that itinerant ferromagnetism of delocalized fermions is possible without lattice and band structure, and our data validate the most basic model for ferromagnetism introduced by Stoner. In the second part of the thesis, the coherence properties of a BoseEinstein condensate (BEC) was studied in a radio frequency induced doublewell potential implemented on a microfabricated atom chip. We observed phase coherence between the separated condensates for times up to 200 ms after splitting, a factor of 10 longer than the phase diffusion time expected for a coherent state for our experimental conditions. The enhanced coherence time is attributed to number squeezing of the initial
Consistency Relations for the Conformal Mechanism
"... We systematically derive the consistency relations associated to the nonlinearly realized symmetries of theories with spontaneously broken conformal symmetry but with a linearlyrealized de Sitter subalgebra. These identities relate (N+1)point correlation functions with a soft external Goldstone t ..."
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We systematically derive the consistency relations associated to the nonlinearly realized symmetries of theories with spontaneously broken conformal symmetry but with a linearlyrealized de Sitter subalgebra. These identities relate (N+1)point correlation functions with a soft external Goldstone
Results 1  10
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