Lecture 2: Bogoliubov theory of a dilute Bose gas Abstract
... The operators Ĥ, Q̂, ρ̂, and Jˆ all act on the Fock space F . They are thus distinct from their single-particle counterparts H, Q, ρ, and J whose actions are restricted to the Hilbert N space H(1) . By construction, the action of Ĥ, Q̂, ρ̂ and Jˆ on the subspace 1sym H(1) of F coincides with the a ...
... The operators Ĥ, Q̂, ρ̂, and Jˆ all act on the Fock space F . They are thus distinct from their single-particle counterparts H, Q, ρ, and J whose actions are restricted to the Hilbert N space H(1) . By construction, the action of Ĥ, Q̂, ρ̂ and Jˆ on the subspace 1sym H(1) of F coincides with the a ...
Exponential Decay of Matrix $\Phi $
... between the Φ-Sobolev inequalities and an exponential decrease of the Φ-entropies. In this work, we develop a framework of Markov semigroups on matrix-valued functions and generalize the above equivalence to the exponential decay of matrix Φ-entropies. This result also specializes to spectral gap in ...
... between the Φ-Sobolev inequalities and an exponential decrease of the Φ-entropies. In this work, we develop a framework of Markov semigroups on matrix-valued functions and generalize the above equivalence to the exponential decay of matrix Φ-entropies. This result also specializes to spectral gap in ...
General properties of overlap operators in disordered quantum spin
... [13]. In classical disordered Ising spin systems, the overlap Ra,b satisfies the GhirlandaGuerra identities which are valid universally [13, 21]. Sometimes, these identities are called Aizenman-Contucci identities [1, 7]. The Ghirlanda-Guerra identities are useful to understand properties of the ran ...
... [13]. In classical disordered Ising spin systems, the overlap Ra,b satisfies the GhirlandaGuerra identities which are valid universally [13, 21]. Sometimes, these identities are called Aizenman-Contucci identities [1, 7]. The Ghirlanda-Guerra identities are useful to understand properties of the ran ...
Schrodinger Evolution for the Universe: Reparametrization
... In that context, it is clear that they will require a spacetime metric in order to be defined. This metric can be specified either in terms of spacetime geometric data or via integration of spatial data and the necessary smearing functions that specify the embedding. Under either viewpoint, we see t ...
... In that context, it is clear that they will require a spacetime metric in order to be defined. This metric can be specified either in terms of spacetime geometric data or via integration of spatial data and the necessary smearing functions that specify the embedding. Under either viewpoint, we see t ...
On cosmology in the laboratory
... matches the phase velocity of light. However, the observed radiation exceeded the theoretical prediction by several orders of magnitude [31]. Note that when a medium reaches the phase velocity the frequency becomes zero (for optical analogues the relevant frequency is the Dopplershifted frequency ω ...
... matches the phase velocity of light. However, the observed radiation exceeded the theoretical prediction by several orders of magnitude [31]. Note that when a medium reaches the phase velocity the frequency becomes zero (for optical analogues the relevant frequency is the Dopplershifted frequency ω ...
A Technology-Independent Model for Nanoscale Logic Devices
... • Just electrons, or also holes, ions, dopants, nuclei, charged molecules, … ...
... • Just electrons, or also holes, ions, dopants, nuclei, charged molecules, … ...
QUANTUM COMPUTING: AN OVERVIEW
... Quantum computing and quantum information processing are emerging disciplines in which the principles of quantum physics are employed to store and process information. We use the classical digital technology at almost every moment in our lives: computers, mobile phones, mp3 players, just to name a f ...
... Quantum computing and quantum information processing are emerging disciplines in which the principles of quantum physics are employed to store and process information. We use the classical digital technology at almost every moment in our lives: computers, mobile phones, mp3 players, just to name a f ...
Self-Reference, Biologic and the Structure of Reproduction
... three dimensional space to the two dimensional space of the image. Scientists strive to make this information consistent and repeatable. This means that whether or not a scientist believes that the microworld of the DNA is just like our world of objects, he can nevertheless assent to the facts show ...
... three dimensional space to the two dimensional space of the image. Scientists strive to make this information consistent and repeatable. This means that whether or not a scientist believes that the microworld of the DNA is just like our world of objects, he can nevertheless assent to the facts show ...
