Topological order at finite temperature?
... “A system is in a topological phase if, at low temperatures, energies, and wavelengths*, all observable properties (e.g. correlation functions) are invariant under smooth deformations (diffeomorphisms) of the spacetime manifold in which the system lives.” (i.e., all observable properties are indepen ...
... “A system is in a topological phase if, at low temperatures, energies, and wavelengths*, all observable properties (e.g. correlation functions) are invariant under smooth deformations (diffeomorphisms) of the spacetime manifold in which the system lives.” (i.e., all observable properties are indepen ...
Axiomatic description of mixed states from Selinger`s CPM
... Proof: We have i ⇔ ii by the definition of ϕ ρ and ii ⇔ iii since by Tr(Ψρ ) = λ†E 0 ◦ (p1A q ⊗ 1E 0 )† ◦ ((ϕρ ◦ ϕ†ρ )∗ ⊗ −) ◦ (p1A q ⊗ 1E ) ◦ λE and ϕρ ◦ ϕ†ρ = Tr(Ψρ )(σA,A ) it follows that Tr(Ψρ ) and ϕρ ◦ ϕ†ρ are in bijective correspondence. ...
... Proof: We have i ⇔ ii by the definition of ϕ ρ and ii ⇔ iii since by Tr(Ψρ ) = λ†E 0 ◦ (p1A q ⊗ 1E 0 )† ◦ ((ϕρ ◦ ϕ†ρ )∗ ⊗ −) ◦ (p1A q ⊗ 1E ) ◦ λE and ϕρ ◦ ϕ†ρ = Tr(Ψρ )(σA,A ) it follows that Tr(Ψρ ) and ϕρ ◦ ϕ†ρ are in bijective correspondence. ...
Boson sampling for molecular vibronic spectra - CIQM
... underlies b is formally equivalent to situation a, together with a step to prepare a nonlinear step. ...
... underlies b is formally equivalent to situation a, together with a step to prepare a nonlinear step. ...
Critical nuclear charge of quantum mechanical three
... The potential energy in the Hamiltonian of helium is coulombic, consisting of an attractive potential between the nucleus and each of the two electrons, but is repulsive between electrons. Consequently, the interaction of these three particles through these three potentials results in a stable syste ...
... The potential energy in the Hamiltonian of helium is coulombic, consisting of an attractive potential between the nucleus and each of the two electrons, but is repulsive between electrons. Consequently, the interaction of these three particles through these three potentials results in a stable syste ...
Penrose Model potential, compared with Coleman
... • T’Hooft used in 2006 an equivalence class argument as an embedding space for simple harmonic oscillators, as given in his Figure 2, on page 8 of his 2006 article. • “Beneath Quantum Mechanics, there may be a deterministic theory with (local) information loss. This may lead to a sufficiently comple ...
... • T’Hooft used in 2006 an equivalence class argument as an embedding space for simple harmonic oscillators, as given in his Figure 2, on page 8 of his 2006 article. • “Beneath Quantum Mechanics, there may be a deterministic theory with (local) information loss. This may lead to a sufficiently comple ...
Ph. D. thesis Quantum Phase Transitions in Correlated Systems
... place when some control parameter is tuned through a transition point. These transitions are associated with the singularities of thermodynamic quantities and, accordingly, can be traditionally classified as first-order or second-order transitions. In experiments, control parameters can be temperat ...
... place when some control parameter is tuned through a transition point. These transitions are associated with the singularities of thermodynamic quantities and, accordingly, can be traditionally classified as first-order or second-order transitions. In experiments, control parameters can be temperat ...
UvA-DARE (Digital Academic Repository)
... S = 1/2 the total spin of the potassium dimer can be either singlet (S = 0) or triplet ...
... S = 1/2 the total spin of the potassium dimer can be either singlet (S = 0) or triplet ...
01-4-momentum-with
... A constant force acts on a fan cart. If we double the mass of the cart (with the same force acting on the cart), has half the acceleration. Clearly the force on a cart changes the velocity of the cart. However, the rate that the velocity changes depends on the mass of the cart. Both mass and the vel ...
... A constant force acts on a fan cart. If we double the mass of the cart (with the same force acting on the cart), has half the acceleration. Clearly the force on a cart changes the velocity of the cart. However, the rate that the velocity changes depends on the mass of the cart. Both mass and the vel ...
Center of Mass and Momentum
... • If you know the momentum at any one time, then you know it for all other times. ...
... • If you know the momentum at any one time, then you know it for all other times. ...
Geometric phases and cyclic isotropic cosmologies
... this unlikely to occur. However, one could argue that considering the Universe conformal factor as an external parameter, in a bouncing cosmology a Berry phase might emerge at the quantum level. This is the scenario we are interested in: does a scalar field maintain a quantum memory from previous bo ...
... this unlikely to occur. However, one could argue that considering the Universe conformal factor as an external parameter, in a bouncing cosmology a Berry phase might emerge at the quantum level. This is the scenario we are interested in: does a scalar field maintain a quantum memory from previous bo ...
chap 6 momentum
... than a car moving at the same speed because it has a greater mass. Which is more difficult to slow down? The car or the large truck? ...
... than a car moving at the same speed because it has a greater mass. Which is more difficult to slow down? The car or the large truck? ...