Browsing Quantum Mechanics by Title
Now showing items 1-20 of 42
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AC-Conductivity Measure from Heat Production of Free Fermions in Disordered Media
Bru, J.-B.
; de Siqueira Pedra, W.; Hertling, C. (2015-12-31)
We extend (Bru et al. in J Math Phys 56:051901-1-51, 2015) in order to study the linear response of free fermions on the lattice within a (independently and identically distributed) random potential to a macroscopic electric ... -
Accuracy of Classical Conductivity Theory at Atomic Scales for Free Fermions in Disordered Media
Aza, N.J.B.; Bru, J.-B.; de Siqueira Pedra, W.; Ratsimanetrimanana, A. (2019-01-22)
The growing need for smaller electronic components has recently sparked the interest in the breakdown of the classical conductivity theory near the atomic scale, at which quantum effects should dominate. In 2012, experimental ... -
Another Proof of Born's Rule on Arbitrary Cauchy Surfaces
(2021-10-14)In 2017, Lienert and Tumulka proved Born's rule on arbitrary Cauchy surfaces in Minkowski space-time assuming Born's rule and a corresponding collapse rule on horizontal surfaces relative to a fixed Lorentz frame, as well ... -
A b-symplectic slice theorem
(2022-01-01)In this article, motivated by the study of symplectic structures on manifolds with boundary and the systematic study of b -symplectic manifolds started in Guillemin, Miranda, and Pires Adv. Math. 264 (2014), 864–896, we ... -
Characterization of the Quasi-Stationary State of an Impurity Driven by Monochromatic Light II: Microscopic Foundations
Bru, J.-B.; de Siqueira Pedra, W. (2015-12-31)
From quantum mechanical first principles only, we rigorously study the time-evolution of a N-level atom (impurity) interacting with an external monochromatic light source within an infinite system of free electrons at ... -
Classical dynamics from self-consistency equations in quantum mechanics
Bru, J.-B.; de Siqueira Pedra, W. (2022-05-09)
During the last three decades, P. Bóna has developed a non-linear generalization of quantum mechanics, based on symplectic structures for normal states and offering a general setting which is convenient to study the emergence ... -
Classical dynamics generated by long-range interactions for lattice fermions and quantum spins
Bru, J.-B.; de Siqueira Pedra, W. (2021)
We study the macroscopic dynamical properties of fermion and quantum-spin systems with long-range, or mean-field, interactions. The results obtained are far beyond previous ones and require the development of a mathematical ... -
D-Wave pairing driven by bipolaric modes related to giant electron-phonon anomalies in high-Tc superconductors
Bru, J.-B.; de Pasquale, A.D.; de Siqueira Pedra, W. (2015-12-31)
Taking into account microscopic properties of most usual high-Tc superconductors, like cuprates, we define a class of microscopic model Hamiltonians for two fermions (electrons or holes) and one boson (bipolaron) on the ... -
Decay of Complex-time Determinantal and Pfaffian\ Correlation Functionals in Lattices
Aza, N.J.B.; Bru, J.-B.; de Siqueira Pedra, W. (2018-01-24)
We supplement the determinantal and Pfaffian bounds of Sims and Warzel (Commun Math Phys 347:903--931, 2016) for many-body localization of quasi-free fermions, by considering the high dimensional case and complex-time ... -
Diagonalizing quadratic bosonic operators by non-autonomous flow equations volker bach
Bach, V.; Bru, J.-B. (2016-01-01)
We study a non-autonomous, non-linear evolution equation on the space of operators on a complex Hilbert space. We specify assumptions that ensure the global existence of its solutions and allow us to derive its asymptotics ... -
The Discreteness-driven Relaxation of Collisionless Gravitating Systems: Entropy Evolution in External Potentials, N-dependence, and the Role of Chaos
Beraldo e Silva, L.; de Siqueira Pedra, W.; Valluri, M.; Sodré, L.; Bru, J.-B. (2019-01-10)
We investigate the old problem of the fast relaxation of collisionless N-body systems that are collapsing or perturbed, emphasizing the importance of (noncollisional) discreteness effects. We integrate orbit ensembles in ... -
Entanglement of classical and quantum short-range dynamics in mean-field systems
Bru, J. B.; de Siqueira Pedra, W. (2021-11-01)
The relationship between classical and quantum mechanics is usually understood via the limit ħ→0. This is the underlying idea behind the quantization of classical objects. The apparent incompatibility of general relativity ... -
Equilibrium and Transport Properties of Quantum Many-Body Systems
(2019-10-30)This thesis is a study of equilibrium and dynamical properties of macroscopic quantum many-body problems. An important part of the manuscript concerns the study of heat and charge transport properties of fermions on the ... -
Existence of “$d$-wave” Pairs and Density Waves in a Class of Microscopic Models for High Transition Temperature Superconductors
(2018-03-21)High-temperature superconductors have different properties than conventional superconductors, one of these important properties is non-isotropic symmetry of the order parameter. In this work we present a model that shows ... -
Extended State Space for Describing Renormalized Fock Spaces in QFT
(2022-06-04)In quantum field theory (QFT) models, it often seems natural to use, instead of wave functions from Fock space, wave functions that are not square-integrable and have prefactors involving divergent integrals (known as ... -
From the 2nd Law of Thermodynamics to AC–Conductivity Measures of Interacting Fermions in Disordered Media
Bru, J.-B.; de Siqueira Pedra, W. (2015-05-20)
We study the dynamics of interacting lattice fermions with random hopping amplitudes and random static potentials, in presence of time-dependent electromagnetic fields. The interparticle interaction is short-range and ... -
Geometric inequalities from phase space translations
(2016-07-22)We establish a quantum version of the classical isoperimetric inequality relating the Fisher information and the entropy power of a quantum state. The key tool is a Fisher information inequality for a state which results ... -
Heat production of noninteracting fermions subjected to electric fields
Bru, J.-B.; de Siqueira Pedra, W.; Hertling, C. (2014-07-21)
Electric resistance in conducting media is related to heat (or entropy) production in the presence of electric fields. In this paper, by using Araki's relative entropy for states, we mathematically define and analyze the ... -
High temperature convergence of the KMS boundary conditions: The Bose-Hubbard model on a finite graph
(2021-08-01)The Kubo-Martin-Schwinger (KMS) condition is a widely studied fundamental property in quantum statistical mechanics which characterizes the thermal equilibrium states of quantum systems. In the seventies, Gallavotti and ... -
Implementing Bogoliubov Transformations Beyond the Shale-Stinespring Condition
(2022-04-28)We provide two extensions of a dense subspace of Fock space, such that Bogoliubov transformations become implementable on them, even though they violate the Shale-Stinespring condition, so they are not implementable on ...