Spatial ordering of charge and spin in quasi-one
... space has been extensively studied25 in Hubbard models which, in one dimension with only nearest-neighbor hopping interactions, predict the appearance of a low-spin ground state.26 This is a consequence26 of the Lieb-Mattis theorem27 which implies that without spin-dependent interactions the ground ...
... space has been extensively studied25 in Hubbard models which, in one dimension with only nearest-neighbor hopping interactions, predict the appearance of a low-spin ground state.26 This is a consequence26 of the Lieb-Mattis theorem27 which implies that without spin-dependent interactions the ground ...
Quantum networks in the presence of D B
... states [6], which are able to carry current even for φ/φ0 = 1/2. This value is independent of the number of injection channels. In the case of SO coupling, we do not observe a strong suppression of the averaged conductance as in the case of the magnetic field. A minimum is present, but it is due to ...
... states [6], which are able to carry current even for φ/φ0 = 1/2. This value is independent of the number of injection channels. In the case of SO coupling, we do not observe a strong suppression of the averaged conductance as in the case of the magnetic field. A minimum is present, but it is due to ...
Simulating the transverse Ising model on a quantum computer: Error... with the surface code ), Hao You (
... currently considered to be one of the most practical faulttolerant quantum computing schemes because the operation time and the resource overhead are within reasonable limits [38]. Here we investigate the quantum simulation of the TIM ground-state energy on a surface code quantum computer. We have c ...
... currently considered to be one of the most practical faulttolerant quantum computing schemes because the operation time and the resource overhead are within reasonable limits [38]. Here we investigate the quantum simulation of the TIM ground-state energy on a surface code quantum computer. We have c ...
coherent states of a charged particle in a magnetic field 1`2
... uniform magnetic field or in crossed uniform electrical and magnetic fields (EH = 0, E 2 - H2 < 0) reduces to solving an equation for the wave function of the oscillator type (Landau was the first to obtain this result when evaluating the spectrum of the problem under consideration l 8 J) it is natu ...
... uniform magnetic field or in crossed uniform electrical and magnetic fields (EH = 0, E 2 - H2 < 0) reduces to solving an equation for the wave function of the oscillator type (Landau was the first to obtain this result when evaluating the spectrum of the problem under consideration l 8 J) it is natu ...
Nonclassical states of light propagating in Kerr media
... which is probably the simplest problem to tackle when dealing with nonlinear systems. Quantum description of the field propagating in a Kerr medium, which will be the subject of our concern in this chapter, reveals a number of interesting features that we are going to address here. Nonclassical effe ...
... which is probably the simplest problem to tackle when dealing with nonlinear systems. Quantum description of the field propagating in a Kerr medium, which will be the subject of our concern in this chapter, reveals a number of interesting features that we are going to address here. Nonclassical effe ...
Discrete Transformations: Parity
... For strong interactions, can extend C by combining it with an isospin transformation: Rotation of 180º about I2 (R2) takes I3 into –I3, for example R2 π+ Æ πCombining C and R2 operations: CR2 π+ Æ π+ All mesons composed only of u and d quarks and anti-quarks are eigenstates of this operation which w ...
... For strong interactions, can extend C by combining it with an isospin transformation: Rotation of 180º about I2 (R2) takes I3 into –I3, for example R2 π+ Æ πCombining C and R2 operations: CR2 π+ Æ π+ All mesons composed only of u and d quarks and anti-quarks are eigenstates of this operation which w ...
Nonperturbative quantum geometries
... In addition, the quantities that we need to define are not, as they are in usual q u a n t u m field theory, expectation values. They are constraint equations which state that a product of operators annihilates some particular state. In particular, although regularization is required to define the a ...
... In addition, the quantities that we need to define are not, as they are in usual q u a n t u m field theory, expectation values. They are constraint equations which state that a product of operators annihilates some particular state. In particular, although regularization is required to define the a ...
Elements of QFT in Curved Space-Time
... everything in GeV . Indeed, for everyday life it may not be nice. E.g., you have to schedule the meeting “just 1027 GeV −1 from now”, but “ 15 minutes” will be, perhaps, better appreciated. However, in the specific area, when all quantities are (more or less) of the same order of magnitude, GeV unit ...
... everything in GeV . Indeed, for everyday life it may not be nice. E.g., you have to schedule the meeting “just 1027 GeV −1 from now”, but “ 15 minutes” will be, perhaps, better appreciated. However, in the specific area, when all quantities are (more or less) of the same order of magnitude, GeV unit ...
Edge excitations and topological order in a rotating Bose gas
... are incompressible and exhibit good overlap with bosonic versions of wave functions known from fractional quantum Hall effect 共FQHE兲. Good overlap is usually a strong indication that some of the correlations of a state obtained from exact diagonalization are captured by a model wave function. Howeve ...
... are incompressible and exhibit good overlap with bosonic versions of wave functions known from fractional quantum Hall effect 共FQHE兲. Good overlap is usually a strong indication that some of the correlations of a state obtained from exact diagonalization are captured by a model wave function. Howeve ...
IS THERE A UNIQUE PHYSICAL ENTROPY? MICRO VERSUS
... Consider one particle a that follows trajectory 1 and another particle b of the same kind that follows trajectory 2. Now imagine the case in which particle a followed trajectory 2 and particle b followed trajectory 1. This exchange would not make any difference for the physical situation. As before, ...
... Consider one particle a that follows trajectory 1 and another particle b of the same kind that follows trajectory 2. Now imagine the case in which particle a followed trajectory 2 and particle b followed trajectory 1. This exchange would not make any difference for the physical situation. As before, ...
Programmable architecture for quantum computing Jialin Chen, Lingli Wang, Edoardo Charbon,
... here quantum logic inputs and outputs are restricted in QRCs. Moreover, by using qubus to design an optimal scheme for dynamic cluster-state generation, we will show that our architecture is feasible as the error probability is below 10−2 , which is an accepted threshold of the MBQC. This paper is ...
... here quantum logic inputs and outputs are restricted in QRCs. Moreover, by using qubus to design an optimal scheme for dynamic cluster-state generation, we will show that our architecture is feasible as the error probability is below 10−2 , which is an accepted threshold of the MBQC. This paper is ...
International Journal of Mathematics, Game Theory and Algebra
... where the weights wi are vectors in Rn , the thresholds θi and the coefficients ci are real numbers and the activation function σ is a univariate function which is considered to be continuous in the present note. For various activation functions σ, it has been proved in a number of papers that one c ...
... where the weights wi are vectors in Rn , the thresholds θi and the coefficients ci are real numbers and the activation function σ is a univariate function which is considered to be continuous in the present note. For various activation functions σ, it has been proved in a number of papers that one c ...
Wave Mechanics
... of the preparation procedure, the state of each particle will be given by the same wave function Ψ(x, t), though it is common practice (and a point of contention) in quantum mechanics to say that the wave function describes the whole ensemble, not each one of its members. We will however usually ref ...
... of the preparation procedure, the state of each particle will be given by the same wave function Ψ(x, t), though it is common practice (and a point of contention) in quantum mechanics to say that the wave function describes the whole ensemble, not each one of its members. We will however usually ref ...
Time propagation of extreme two-electron wavefunctions F Robicheaux
... applied to molecules [1]. Although we used this particular approximation, the methods described below would also work for other propagators (including the leapfrog algorithm, Chebyshev propagator, or the exponential method). The choice we make for the splitting means the U1 and U2 operators commute ...
... applied to molecules [1]. Although we used this particular approximation, the methods described below would also work for other propagators (including the leapfrog algorithm, Chebyshev propagator, or the exponential method). The choice we make for the splitting means the U1 and U2 operators commute ...
3 The Fundamental Postulate - Princeton University Press
... The Hamiltonian’s constant value E can be identified with the system’s internal energy. Strictly speaking, for a system of 6N equations of motion, there exist 6N - 1 integrals of motion, which define a line in phase space along which the system must move. To a very large extent, however, these int ...
... The Hamiltonian’s constant value E can be identified with the system’s internal energy. Strictly speaking, for a system of 6N equations of motion, there exist 6N - 1 integrals of motion, which define a line in phase space along which the system must move. To a very large extent, however, these int ...
.
... where j2i is thePcollective Dicke-like state with two excitations, j2i / ij gi gj j01 02 . . . 1i . . . 1j . . . 0N i. Transferring subsequently to the superposition of zero-, one-, and two-phonon states, j c pn i ¼ 0 jnpn ¼ 0i þ 1 jnpn ¼ 1i þ 2 jnpn ¼ 2i, and from it to the same superposition o ...
... where j2i is thePcollective Dicke-like state with two excitations, j2i / ij gi gj j01 02 . . . 1i . . . 1j . . . 0N i. Transferring subsequently to the superposition of zero-, one-, and two-phonon states, j c pn i ¼ 0 jnpn ¼ 0i þ 1 jnpn ¼ 1i þ 2 jnpn ¼ 2i, and from it to the same superposition o ...