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ppt - ECM
ppt - ECM

... The difficult problem of a PEPS… In order to compute expected values of observables, one must necessarily contract the PEPS tensor network, and this is an NP-hard problem in general. For finite systems, there is a variational technique to efficiently approximate such a contraction (up to lattices o ...
Title Robustness of quantum spin Hall effect in an external magnetic
Title Robustness of quantum spin Hall effect in an external magnetic

... has a bulk gap between the conduction and valence bands meanwhile processing a pair of gapless helical edge states surrounding the boundaries [5–7]. The gapless helical edge states give rise to a quantized conductance in a two-terminal measurement, which has been observed experimentally in HgTe/CdTe ...
Problem Set 11 Solutions - Illinois State Chemistry
Problem Set 11 Solutions - Illinois State Chemistry

... For Si, placing two electrons in the 3p set of orbitals leads to two unpaired electrons. Thus, the total spin of the two unpaired electrons is S=1, and therefore the multiplicity is 2S+1 = 2·1+1 = 3. Therefore, the multiplicity of the ground state of Si is a triplet. For P, placing three electrons i ...
We need an antisymmetric real tensor field in bulk theory!
We need an antisymmetric real tensor field in bulk theory!

... By holographic principle, partition function of dual boundary is obtained by bulk theory. At the classical level and in probe limit, free energy for magnetic part is this, (arXiv: 1507.00546) ...
Orbital ice: An exact Coulomb phase on the diamond lattice
Orbital ice: An exact Coulomb phase on the diamond lattice

... colloidals in optical traps and superconducting vortices in specially fabricated pinning centers [7,8]. A valence bond liquid phase with an ice-like degeneracy is also shown to be the ground state of a spin-1/2 Klein model on the pyrochlore lattice [9]. ...
Phys. Rev. B 76, 035315 (2007) - Petta Group
Phys. Rev. B 76, 035315 (2007) - Petta Group

... and nuclear-spin dynamics. In particular, the time scales governing nuclear-spin evolution are slower than most relevant electron-spin processes. This allows us to treat the nuclear environment using a type of adiabatic approximation, the quasistatic approximation 共QSA兲.11,16 In this model, the nucl ...
PEPS, matrix product operators and the Bethe ansatz
PEPS, matrix product operators and the Bethe ansatz

... In principle unbiased, like DMRG: we can make the system completely translational invariant Especially suited for describing spin liquids et al., gapped systems (cfr. MERA for critical systems!) In case of fermions: make use of classical gauge theories to get right statistics ...
Rosa Lopez
Rosa Lopez

... for the infinite U case (to sixth order) yields ...
Time-Reversal-Symmetry-Broken Quantum Spin Hall Effect
Time-Reversal-Symmetry-Broken Quantum Spin Hall Effect

... corresponding to the C ¼ 1 region in the phase diagram, the energy spectrum is shown in Fig. 4(a). One can easily distinguish the edge states from the bulk states. There is a small energy gap in the edge modes as can be seen from the inset in Fig. 4(a), due to the absence of TR and inversion symme ...
Acta Phys. Pol. A. 121, 992
Acta Phys. Pol. A. 121, 992

... analyse the inuence of exchange interactions and anisotropy on magnetic susceptibility of bimetallic (S = 3/2, s = 1/2) chains composed of Cu ions linked to dierent 3d ions by tting experimental data. We reach the remarkable consistency of the density functional theory estimates of the magnetic c ...
A Spin Chain Primer - University of Miami Physics
A Spin Chain Primer - University of Miami Physics

... The algebra of the operators αn , βn, γn, δn is encoded in the relation R000 (λ − λ0 ) L0n (λ) L00 n (λ0 ) = L00 n (λ0 ) L0n(λ) R000 (λ − λ0 ) , ...
Quantum Fluctuations of Mass for a Mirror in Vacuum
Quantum Fluctuations of Mass for a Mirror in Vacuum

... Quantum field fluctuations in vacuum lead to mechanical effects on objects by which they are scattered [1]. Two mirrors of a cavity scattering vacuum fields feel a radiation pressure (Casimir force), which results from a difference of field energy densities between the inside and outside of the cavi ...
p - CEA-Irfu
p - CEA-Irfu

... • easy to insert into existing BUU codes for nuclear reactions • Pauli-blocking carefully checked ...
Quantum theory of spin waves in finite chiral spin chains
Quantum theory of spin waves in finite chiral spin chains

... classical antiferromagnets [3,6], and classical spin spirals [4]. When quantum fluctuations do not quench the atomic magnetic moment, classical information can be stored and manipulated in atomically engineered spin chains. Thus, classical Néel states can be used to store a bit of information [6] a ...
Spontaneous persistent currents in a quantum spin Hall insulator D. Soriano
Spontaneous persistent currents in a quantum spin Hall insulator D. Soriano

Anderson localization
Anderson localization

... Dalichaouch, R., Armstrong, J.P., Schultz, S.,Platzman, P.M. & McCall, S.L. “Microwave localization by 2-dimensional random scattering”. Nature 354, 53, (1991). Chabanov, A.A., Stoytchev, M. & Genack, A.Z. Statistical signatures of photon localization. ...
the PDF - JILA - University of Colorado Boulder
the PDF - JILA - University of Colorado Boulder

... of the present Letter. Lattice Hamiltonians based on more than one molecular rotational state have been considered before in Refs. [11–22]. An important difference of Eq. (1) from the Hamiltonian studied in Ref. [17], which is most closely related to our work, is the presence of the J? term [11]. Eq ...
Lecture 3
Lecture 3

Quantum phase transition in one-dimensional Bose
Quantum phase transition in one-dimensional Bose

... holds, the results of the MFT should qualitatively be modified near the critical point due to quantum fluctuations. We study the critical behavior of the system based on an exact diagonalization method. Such a transition around the critical point can be studied experimentally using the Feshbach reso ...
Continuous Time Quantum Monte Carlo method for fermions
Continuous Time Quantum Monte Carlo method for fermions

... grows faster than the numerator. In our calculations for the non-Hamiltonian systems we also did not observe any indications of the divergence. The crucial point of the proof is the finiteness of the number of states in the system. This is a particular peculiarity of fermions. For bosons, on other h ...
soliloquy: a cautionary tale
soliloquy: a cautionary tale

... The Soliloquy primitive, first proposed by the third author in 2007, is based on cyclic lattices. It has very good efficiency properties, both in terms of public key size and the speed of encryption and decryption. There are straightforward techniques for turning Soliloquy into a key exchange or oth ...
Atomic matter of nonzero-momentum Bose-Einstein condensation and orbital current order
Atomic matter of nonzero-momentum Bose-Einstein condensation and orbital current order

... frequency on resonance with the s-p state transition and 共B兲 to apply the method demonstrated in the experiment of Browaeys et al. 关9兴 by accelerating atoms in a lattice. We may also add a third possible approach—that is, 共C兲 to sweep atoms adiabatically across a Feshbach resonance. Köhl et al. 关10兴 ...
Introduction to the Bethe Ansatz I
Introduction to the Bethe Ansatz I

... application, they can be met by analytical or computational methods as we shall see in the following. For the Heisenberg model, two symmetries are essential for the application of the Bethe ansatz. The rotational symmetry about the z-axis in spin space, which we have chosen to be the quantization ax ...
Section 1.6 - 1 1.6 Term Symbols A brief general review of atomic
Section 1.6 - 1 1.6 Term Symbols A brief general review of atomic

... Leads to the Pauli-Principle: No two Fermions in any spatially/energetically confined system can have the same four quantum numbers (n, l, ml, ms). SEE SUPP. INFO ON HUND’S RULE ...
Fermionization of Spin Systems
Fermionization of Spin Systems

... Our methods is based on the so called “fermionization”. As the name tell, fermionization is a procedure that mutates spin operators into fermion operators. The first question might be: why not bosons? In fact primal approaches converted spins into bosons, because spins in different sites obey to com ...
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Ising model

The Ising model (/ˈaɪsɪŋ/; German: [ˈiːzɪŋ]), named after the physicist Ernst Ising, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent magnetic dipole moments of atomic spins that can be in one of two states (+1 or −1). The spins are arranged in a graph, usually a lattice, allowing each spin to interact with its neighbors. The model allows the identification of phase transitions, as a simplified model of reality. The two-dimensional square-lattice Ising model is one of the simplest statistical models to show a phase transition.The Ising model was invented by the physicist Wilhelm Lenz (1920), who gave it as a problem to his student Ernst Ising. The one-dimensional Ising model has no phase transition and was solved by Ising (1925) himself in his 1924 thesis. The two-dimensional square lattice Ising model is much harder, and was given an analytic description much later, by Lars Onsager (1944). It is usually solved by a transfer-matrix method, although there exist different approaches, more related to quantum field theory.In dimensions greater than four, the phase transition of the Ising model is described by mean field theory.
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