Maximal Newton polygons via the quantum Bruhat graph
... this basis. Applications include statistics about mapping projective curves to G/P satisfying various incidence conditions, but the impact now extends beyond enumerative geometry into many other aspects of algebraic geometry, combinatorics, representation theory, number theory, and physics. The main ...
... this basis. Applications include statistics about mapping projective curves to G/P satisfying various incidence conditions, but the impact now extends beyond enumerative geometry into many other aspects of algebraic geometry, combinatorics, representation theory, number theory, and physics. The main ...
Interconnection Networks for Scalable Quantum Computers
... We will use “qubit” to refer to a physical qubit and “logical qubit” explicitly to refer to an encoded state of many qubits. Anytime such a large number of bits must interact, communication issues arise: how exactly should we schedule and route information? Several observations narrow the space of a ...
... We will use “qubit” to refer to a physical qubit and “logical qubit” explicitly to refer to an encoded state of many qubits. Anytime such a large number of bits must interact, communication issues arise: how exactly should we schedule and route information? Several observations narrow the space of a ...
Quantum dynamics of human decision
... state X1 exclusively or from X0 to state X2 exclusively to reach state X4. If we do not observe what happens inside the box of Fig. 1, then the system enters into a ‘‘superposition’’ of states X1 and X2, which is not equal to either one. The amazing consequence of this new assumption is that the pro ...
... state X1 exclusively or from X0 to state X2 exclusively to reach state X4. If we do not observe what happens inside the box of Fig. 1, then the system enters into a ‘‘superposition’’ of states X1 and X2, which is not equal to either one. The amazing consequence of this new assumption is that the pro ...
Equivalence between free quantum particles and those in harmonic
... trapped particles was investigated by Nienhuis et al. in 1993 using operator methods [8]. The connection with the Gouy-phase of optics, the phase shift of π (or multiples thereof) a beams suffers when going through a focus, was made explicit by Steuernagel in 2005 [1]. Barton’s comprehensive 1986 art ...
... trapped particles was investigated by Nienhuis et al. in 1993 using operator methods [8]. The connection with the Gouy-phase of optics, the phase shift of π (or multiples thereof) a beams suffers when going through a focus, was made explicit by Steuernagel in 2005 [1]. Barton’s comprehensive 1986 art ...
Entanglement Theory and the Second Law of Thermodynamics
... adiabatic process. From simple, abstract, axioms they were able to show that this order is uniquely determined by an entropy function S: given two equilibrium states A and B, A can be converted by an adiabatic process into B if, and only if, S(A) ≤ S(B). As pointed out by Lieb and Yngvason4 , it is ...
... adiabatic process. From simple, abstract, axioms they were able to show that this order is uniquely determined by an entropy function S: given two equilibrium states A and B, A can be converted by an adiabatic process into B if, and only if, S(A) ≤ S(B). As pointed out by Lieb and Yngvason4 , it is ...
Why is there an invariant speed c?
... Thus the signal moving with speed c in S1 also moves with speed c in S2. This result also means that when a signal moves in the x direction with speed c in a frame S2, its speed is also c in the frame S1 with velocity in the -x direction relative to S2. ...
... Thus the signal moving with speed c in S1 also moves with speed c in S2. This result also means that when a signal moves in the x direction with speed c in a frame S2, its speed is also c in the frame S1 with velocity in the -x direction relative to S2. ...
Midgap states of a two-dimensional antiferromagnetic Mott
... Our model applies to quasi–two-dimensional systems such as the weakly coupled, layered, high-Tc oxide superconductors where finite-temperature, antiferromagnetic long-range order (LRO) is observed. It is not intended to describe a strictly two-dimensional system. Our picture is that of an ordered an ...
... Our model applies to quasi–two-dimensional systems such as the weakly coupled, layered, high-Tc oxide superconductors where finite-temperature, antiferromagnetic long-range order (LRO) is observed. It is not intended to describe a strictly two-dimensional system. Our picture is that of an ordered an ...
berezinskii-kosterlitz-thouless transition and the haldane conjecture
... Note that (despite the continuum notation) L expresses the system size in lattice units, so it is dimensionless (and taking its logarithm makes sense). The integral over the plane is a bit sloppy regarding the shape of the volume; it is approximated by a circle of radius L, except for a small inner ...
... Note that (despite the continuum notation) L expresses the system size in lattice units, so it is dimensionless (and taking its logarithm makes sense). The integral over the plane is a bit sloppy regarding the shape of the volume; it is approximated by a circle of radius L, except for a small inner ...
Edge States and Contacts in the Quantum Hall Effect
... scientific community ever since the discovery of the electromagnetism by H.C. Ørsted in 1820. In 1879, it was observed that a transverse voltage difference builds up, when a conducting sheet is placed in a magnetic field, which is denoted the Hall effect. A century later, quantum oscillations had be ...
... scientific community ever since the discovery of the electromagnetism by H.C. Ørsted in 1820. In 1879, it was observed that a transverse voltage difference builds up, when a conducting sheet is placed in a magnetic field, which is denoted the Hall effect. A century later, quantum oscillations had be ...
Dynamics of Entanglement for Two-Electron Atoms
... dynamics of the entanglement when the system evolves from a chosen initial condition. In particular we will address the following question: Is there a physical quantity that can be used to explain in a direct way the time evolution of the entanglement between the electrons? We shall use the von Neum ...
... dynamics of the entanglement when the system evolves from a chosen initial condition. In particular we will address the following question: Is there a physical quantity that can be used to explain in a direct way the time evolution of the entanglement between the electrons? We shall use the von Neum ...
