Bogoliubov Transformation Spin Wave

PDF Magnons: Spin-Waves in Magnetic Materials.
Bogoliubov-de Gennes (BdG) Hamiltonian for electron-Hole.
Generalized spin-wave theory: Application to the bilinear.
A Stronger Version of Bogoliubov's Inequality and the.
On thequantum master equation for Bogoliubov-BCS quasiparticles.
Modified spin-wave theory for the S = 1 frustrated... - DeepDyve.
PDF Onthe Bogoliubov De Gennes Equations.
From the Square Lattice to the Checkerboard Lattice Spin Wave and.
Bogoliubov transformation 3-mode | Physics Forums.
Lecture notes on topological insulators.
Flow equations and extended Bogoliubov transformation for the.
27 - Elementary excitations: the Bogoliubov-Valatin transformation.
Spin-Wave Wave Function for Quantum Spin Models.

PDF Magnons: Spin-Waves in Magnetic Materials.

3 The Gutzwiller wave function 9 4 Strong coupling theory 15 5 Spin waves 18 6 Single hole problem 21 7 Summary and discussion 29 A The bosonic Bogoliubov transformation 31 E. Pavarini, E. Koch, and P. Coleman (eds.) Many-Body Physics: From Kondo to Hubbard Modeling and Simulation Vol. 5 Forschungszentrum J¨ulich, 2015, ISBN 978-3-95806-074-6. We apply generalized Bogoliubov transformations to the transfer matrix of relativistic field theories regularized on a lattice. We derive the conditions these transformations must satisfy to factorize the transfer matrix into two terms which propagate fermions and antifermions separately, and we solve the relative equations under some conditions. We relate these equations to the saddle point. On the other hand, WKB approximation [25, 27] based on Bogoliubov-de Gennes equation [28] provides an analytic way to understand the wave behaviors. [29] To describe the quan-tum wave properties when the relaxation eﬀects are incorporated, it is of the fundamental interest to extend the quantum master equations to Bogoliubov-BCS quasiparticles.

Bogoliubov-de Gennes (BdG) Hamiltonian for electron-Hole.

Then, it seems reasonable to envisage experi- odic terms σnx σ1x and σny σ1y for the even total spin-up mental realizations of the quantum circuit Udis that will sector and the same terms with opposite sign in the allow to create e.g. the ground state of the Quantum odd Q sector. The Jordan-Wigner transformation ci = z x y Ising model for. Dec 15, 2010 · I'm working on spin-wave theory and I have a problem with a bogoliubov transformation. I must do the transformation with 3 bosons and i have no idea how to do it. I've only found the transformation for 1 and 2-mode bosons, but not for three.

Generalized spin-wave theory: Application to the bilinear.

Nov 12, 2020 · The trouble is that I'm not aware of a simple way to implement a Bogoliubov transformation for Hamiltonians of this type - there are some papers on spin-wave theory which address similar problems, but the examples I have seen do not have the same structure of couplings, so those closed forms do not apply.

A Stronger Version of Bogoliubov's Inequality and the.

We study the one-dimensional isotropic spin-1 Heisenberg magnet with antiferromagnetic nearest-neighbor (nn) and next-nearest-neighbor (nnn) interactions by using the modified spin wave theory (MSWT). The ground state energy and the singlet-triplet energy gap are obtained for several values of j, defined as the ratio of the nnn interaction constant to the nn one.

On thequantum master equation for Bogoliubov-BCS quasiparticles.

In 1927, Pauli studied the spin problem using the wave functions. Pauli introduced the spin operators sx, sy, sz acting on the wave functions, which depend on the three spatial coordinates, q, and. In Sect. 2, after recapitulating the basics of HFB theory, the relationships among the Bogoliubov transformation, the particle-number parity, and the time-reversal symmetry are presented. In Sect. 3 , based on the relationships found in Sect. 2 , we give the foundation for a method describing the ground-state of odd-mass nuclei under a time-odd.

Modified spin-wave theory for the S = 1 frustrated... - DeepDyve.

Jul 09, 2012 · As repetition of such a transformation (i.e. rotation by 360 deg) transforms the spin wavefunction into minus itself, there is a relative phase of -1 in the transformation of [itex]|\uparrow\rangle [/itex] and [itex]|\downarrow\rangle[/itex]. Alternatively, this can be understood in terms of the behaviour under time inversion (Kramers degeneracy).

PDF Onthe Bogoliubov De Gennes Equations.

Enter the email address you signed up with and we'll email you a reset link. Holstein-Primakoff transformation which transforms spin operators into bosons is used for the spin-wave calculations such that Sz i = s −a † i ai, S + i = √ 2sfiai, S − i = √ 2sa i fi, (4) where fi = 1−a† i ai/2s, s is the spin quantum number and S ± i = S x i ± iS y i. Substituting Eqs. (4)into(3) and approximating the. See full list on.

From the Square Lattice to the Checkerboard Lattice Spin Wave and.

Spin Wave Theory of Spin 1=2 XY Model with Ring Exchange on a Triangular Lattice Solomon A. Owerre 1Groupe de physique des particules,... Bogoliubov transformation. After taking all these steps into consideration, it is easy to show that the diagonal-ized form of the Hamiltonian is: H= H MF+ X k (! k A k) + X k! k y k k + y k k (5). Bogoliubov-deGennes formalism s-wave spinful (BCS-like) "Nambu spinor" Diagonalizing, we obtain the familiar result: Note: Diagonalizing is equivalent to a Bogoliubov transformation! (doubly degenerate) Bogoliubov-deGennes formalism giving a 2x2 matrix... Spin-polarized ("spinless") p-wave superconductors. Read and Green, Phys. Rev. B.

Bogoliubov transformation 3-mode | Physics Forums.

In this paper, by considering Bogoliubov transformations between (real) massless spin-0-ﬁeld modes propagating in a slowly-varying Schwarzschild-like solution, such as appears in Sec.2 of [3] for adiabatic modes. Such Vaidya-like approximate classical solutions will subsequently be treated in more detail [13]. 1 day ago · In the Bogoliubov description of an ultracold interacting superfluid, the ground state is composed of a macroscopically-occupied condensate and correlated particle pairs due to s-wave interactions.

Lecture notes on topological insulators.

Using the variational approach for a trial wave function of a predetermined form and... (Bogoliubov-De Jennes transformation [9]) and in calculation of spin-wave excitation spectrum in antiferromagnets where also "dangerous" diagrams appear. [1] J. Bardeen, L. Cooper, and J. Schrieﬀer, Phys. Rev. 106, 162 (1957).. Conventional spin wave expansion transformations - Holstein-Primakoff - Fourier transformation using reduced BZ - diagonalization: Bogoliubov transformation H^ = 1 2 X ij JijSi ¢Sj Jij =J>0 H = Ecl +H2 +H4 +O(b6) Ecl = ¡DNJS2 H2 = S X ij Jij ³ by ibi +b y jbj +bibj +b y ib y j ´ bi = r 2 N X k eik¢riA k bi = r 2 N X k eik¢riB k µ.

Flow equations and extended Bogoliubov transformation for the.

Abstract. Spin-orbit torque (SOT) can drive sustained spin wave (SW) auto-oscillations in a class of emerging microwave devices known as spin Hall nano-oscillators (SHNOs), which have highly nonlinear properties governing robust mutual synchronization at frequencies directly amenable to high-speed neuromorphic computing. View HW from PHYS 211b at University of California, San Diego. PHYSICS 211B CONDENSED MATTER PHYSICS HW ASSIGNMENT #5 (1) Show that the Bogoliubov transformations in Eqn. (12.55) of the. Physical description of spin wave theory and Bogoliubov transformation 1 I am trying to understand how spin-wave theory explain the behaviour of a spin-wave in a spin system. To clarify my question, I will start with a simple case of a antiferromagnet (AFM). The Hamiltonian is given as: H = J ∑ i, j S → i ⋅ S → j.

27 - Elementary excitations: the Bogoliubov-Valatin transformation.

The symmetry between the creation of pairs of massless bosons or fermions by accelerated mirror in 1+1 space and the emission of single photons or scalar quanta by electric or scalar charge in 3+1 space is deepened in this paper. The relation of Bogoliubov coefficients with Fourier's components of current or charge density leads to the coicidence of the spin of any disturbances bilinear in.

Spin-Wave Wave Function for Quantum Spin Models.

Spin-wave theory ~SWT! and the quantum Monte Carlo method ~QMC!, which is conﬁrmed by Kolezhuket al.3 with the matrix product approach. It is also consistent with... Then the angle of the Bogoliubov transformation is ex-pressed in a compact form cosh2uk5 1 A12h2g k 2, sinh2uk5 uhgku 12h2g k 2, ~10! and the self-consistent equations read.