Power-Law Entanglement Spectrum in Many-Body Localized
... probed via quantum-information measures, such as entanglement entropy (EE). Given a pure quantum state ψ of a many-body system S = L ∪ R, consistingP of two subD systems L and R, the EE is defined as S = − i λi ln λi , where {λi }, i = 1, ..., D, are the eigenvalues of the reduced density matrix ρ̂R ...
... probed via quantum-information measures, such as entanglement entropy (EE). Given a pure quantum state ψ of a many-body system S = L ∪ R, consistingP of two subD systems L and R, the EE is defined as S = − i λi ln λi , where {λi }, i = 1, ..., D, are the eigenvalues of the reduced density matrix ρ̂R ...
Stable bounce and inflation in non-local higher derivative
... the Ricci scalar and it’s derivatives up to arbitrary orders and yielded non-singular bouncing solution of hyperbolic cosine type. However, it was not clear how generic these solutions were, whether these solutions were stable under small perturbations, and whether these theories contain other sing ...
... the Ricci scalar and it’s derivatives up to arbitrary orders and yielded non-singular bouncing solution of hyperbolic cosine type. However, it was not clear how generic these solutions were, whether these solutions were stable under small perturbations, and whether these theories contain other sing ...
Driven Bose-Hubbard model with a parametrically modulated
... which would otherwise be unstable? In turn, can we obtain information on the atomic interaction by externally tuning the system to an unstable dynamical state? In this work, we show that a global parametric modulation of the trapping potential, which does not have to be tuned to local properties, ca ...
... which would otherwise be unstable? In turn, can we obtain information on the atomic interaction by externally tuning the system to an unstable dynamical state? In this work, we show that a global parametric modulation of the trapping potential, which does not have to be tuned to local properties, ca ...
Quantum-gravitational effects for inflationary perturbations and the
... The most ambitious attempt is, of course, to unify all forces in Nature. For this approach, the most elaborate candidate theory is string theory, which can only be formulated consistently in 10, 11 or 26 spacetime dimensions. In order to describe our apparent four-dimensional reality, the additional ...
... The most ambitious attempt is, of course, to unify all forces in Nature. For this approach, the most elaborate candidate theory is string theory, which can only be formulated consistently in 10, 11 or 26 spacetime dimensions. In order to describe our apparent four-dimensional reality, the additional ...
Feynman-Kac formula for L´evy processes and semiclassical (Euclidean) momentum representation
... In addition we also study the limiting behaviors of the solutions given by FeynmanKac type formulas in terms of large deviations. In particular we show in detail that these limiting behaviors have exactly the same patterns as the semiclassical limits of (Euclidean) quantum mechanics in several speci ...
... In addition we also study the limiting behaviors of the solutions given by FeynmanKac type formulas in terms of large deviations. In particular we show in detail that these limiting behaviors have exactly the same patterns as the semiclassical limits of (Euclidean) quantum mechanics in several speci ...
Effect of disorder on quantum phase transitions in
... disorder-free model that are needed to understand the rest of the paper. In Sec. IV we take the continuum limit of the fermion model for various cases. The Ising transition and the anisotropy transition with only randomness in the anisotropy that results in a Dirac equation with a random mass. The i ...
... disorder-free model that are needed to understand the rest of the paper. In Sec. IV we take the continuum limit of the fermion model for various cases. The Ising transition and the anisotropy transition with only randomness in the anisotropy that results in a Dirac equation with a random mass. The i ...
Chapter 2. Model Problems That Form Important Starting Points
... Chapter 1 to be related to the values of x at which the spherical Bessel functions jL(x) vanish, are not the same as in atoms, again because the radial potentials differ. However, the angular shapes of the spherical box problem are the same as in atomic structure because, in both cases, the potentia ...
... Chapter 1 to be related to the values of x at which the spherical Bessel functions jL(x) vanish, are not the same as in atoms, again because the radial potentials differ. However, the angular shapes of the spherical box problem are the same as in atomic structure because, in both cases, the potentia ...
Quantized field description of rotor frequency
... 共Received 25 August 1999; accepted 22 October 1999兲 A formalized many-particle nonrelativistic classical quantized field interpretation of magic angle spinning 共MAS兲 nuclear magnetic resonance 共NMR兲 radio frequency-driven dipolar recoupling 共RFDR兲 is presented. A distinction is made between the MAS ...
... 共Received 25 August 1999; accepted 22 October 1999兲 A formalized many-particle nonrelativistic classical quantized field interpretation of magic angle spinning 共MAS兲 nuclear magnetic resonance 共NMR兲 radio frequency-driven dipolar recoupling 共RFDR兲 is presented. A distinction is made between the MAS ...
Localized shocks Please share
... is also exceptional, and that a chaotic system will exhibit slower (perhaps diffusive) growth. To show that this is not the case, we numerically analyze a chaotic version (g = −1.05, h = 0.5) of the same spin chain alongside the integrable model, and plot the size of the precursor in the right panel ...
... is also exceptional, and that a chaotic system will exhibit slower (perhaps diffusive) growth. To show that this is not the case, we numerically analyze a chaotic version (g = −1.05, h = 0.5) of the same spin chain alongside the integrable model, and plot the size of the precursor in the right panel ...
Correlation energy of two electrons in a ball
... any spherically symmetric confining external potential. At the end of our previous work,23 we observed that it would be highly desirable to consider D-ballium, the system in which the two electrons are trapped in a D-dimensional ball of radius R. This model is a severe test of our conjecture because ...
... any spherically symmetric confining external potential. At the end of our previous work,23 we observed that it would be highly desirable to consider D-ballium, the system in which the two electrons are trapped in a D-dimensional ball of radius R. This model is a severe test of our conjecture because ...
Numerical Methods for strongly correlated electrons
... truncation of the huge Hilbert space in a smaller basis that can be systematically increased until convergence is reached. Within this class of methods we will describe the Lanczos technique, modern Configuration Interaction schemes, aimed at improving the simplest Hartee-Fock calculation, until the ...
... truncation of the huge Hilbert space in a smaller basis that can be systematically increased until convergence is reached. Within this class of methods we will describe the Lanczos technique, modern Configuration Interaction schemes, aimed at improving the simplest Hartee-Fock calculation, until the ...
Quantum Field Theory I
... Z constant is always equal to 1. So while staying at the tree level, one can forget about Z completely. And since our first aim is to master the tree level calculations, we can ignore the whole Z-affair until the discussion of loops and renormalization. The following sketch of the Z definition is pr ...
... Z constant is always equal to 1. So while staying at the tree level, one can forget about Z completely. And since our first aim is to master the tree level calculations, we can ignore the whole Z-affair until the discussion of loops and renormalization. The following sketch of the Z definition is pr ...