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Journal articles on the topic 'Gutzwiller Variational Method'

Author: Grafiati

Published: 14 March 2023

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Zhang, Feng, Zhuo Ye, Yong-Xin Yao, Cai-Zhuang Wang, and Kai-Ming Ho. "A random-sampling method as an efficient alternative to variational Monte Carlo for solving Gutzwiller wavefunctions." Journal of Physics Communications 5, no. 12 (December 1, 2021): 125003. http://dx.doi.org/10.1088/2399-6528/ac3c32.

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Abstract We present a random-sampling (RS) method for evaluating expectation values of physical quantities using the variational approach. We demonstrate that the RS method is computationally more efficient than the variational Monte Carlo method using the Gutzwiller wavefunctions applied on single-band Hubbard models as an example. Non-local constraints can also been easily implemented in the current scheme that capture the essential physics in the limit of strong on-site repulsion. In addition, we extend the RS method to study the antiferromagnetic states with multiple variational parameters for 1D and 2D Hubbard models.

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GOCHEV, I. G., N. B. IVANOV, and P. Kh. IVANOV. "A NEW APPROACH TO CALCULATION OF ENERGY OF S = 1/2 HEISENBERG ANTIFERROMAGNET USING VARIATIONAL GUTZWILLER WAVE FUNCTION." International Journal of Modern Physics B 02, no. 05 (October 1988): 1037–42. http://dx.doi.org/10.1142/s0217979288000871.

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Zhang, Dian-Cheng, Shi-Ping Feng, and Shi-Jie Yang. "Supersolid phase induced by artificial gauge fields." Journal of Physics B: Atomic, Molecular and Optical Physics 54, no. 18 (September 22, 2021): 185302. http://dx.doi.org/10.1088/1361-6455/ac2fed.

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Abstract The ground state phases of ultracold bosons in a ladder optical lattice subjected to a magnetic field are studied. With the inhomogeneous Gutzwiller variational method, we find that a modulated supersolid phase appears as the magnetic flux increases. The dependence of the supersolid period on the magnetic flux satisfies the commensurate conditions of integer times of 2π/ϕ.

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KOU, SU-PENG, and RONG-HUA LI. "BOSONIC GUTZWILLER PROJECTION APPROACH FOR THE BOSE–HUBBARD MODEL." International Journal of Modern Physics B 21, no. 02 (January 20, 2007): 249–64. http://dx.doi.org/10.1142/s0217979207036497.

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In this paper, a new Bosonic Gutzwiller projection approach is proposed to study the strongly correlated bosons in optical lattice. In this method, there exist many variational parameters which make us calculate the physical characters of states, including the double occupation rate and the higher occupation rates. Based on this approach, a quantum phase transition from superfluid state to Mott insulator state is obtained for the homogenous phase at unit filling.

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Yanagisawa, Takashi, Mitake Miyazaki, and Kunihiko Yamaji. "Crossover Induced Electron Pairing and Superconductivity by Kinetic Renormalization in Correlated Electron Systems." Condensed Matter 3, no. 3 (September 6, 2018): 26. http://dx.doi.org/10.3390/condmat3030026.

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We investigate the ground state of strongly correlated electron systems based on an optimization variational Monte Carlo method to clarify the mechanism of high-temperature superconductivity. The wave function is optimized by introducing variational parameters in an exponential-type wave function beyond the Gutzwiller function. The many-body effect plays an important role as an origin of superconductivity in a correlated electron system. There is a crossover between weakly correlated region and strongly correlated region, where two regions are characterized by the strength of the on-site Coulomb interaction U. We insist that high-temperature superconductivity occurs in the strongly correlated region.

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FERREIRA da SILVA, A. "ENHANCED EFFECTIVE MASS IN N-DOPED DEGENERATE SILICON." Modern Physics Letters B 04, no. 01 (January 10, 1990): 37–41. http://dx.doi.org/10.1142/s0217984990000064.

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The effective mass of phosphorus-doped silicon has been calculated in the light of the Gutzwiller method for highly correlated system. The many-valley nature of the host conduction band minima with a variational impurity concentration dependence is taken into account in the calculation. The results show fair agreement when compared to previous work and available experimental data. Calculation of the density of states at the Fermi energy is also presented for the sake of comparison.

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Huerga, Daniel. "Variational Quantum Simulation of Valence-Bond Solids." Quantum 6 (December 13, 2022): 874. http://dx.doi.org/10.22331/q-2022-12-13-874.

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We introduce a hybrid quantum-classical variational algorithm to simulate ground-state phase diagrams of frustrated quantum spin models in the thermodynamic limit. The method is based on a cluster-Gutzwiller ansatz where the wave function of the cluster is provided by a parameterized quantum circuit whose key ingredient is a two-qubit real XY gate allowing to efficiently generate valence-bonds on nearest-neighbor qubits. Additional tunable single-qubit Z- and two-qubit ZZ-rotation gates allow the description of magnetically ordered and paramagnetic phases while restricting the variational optimization to the U(1) subspace. We benchmark the method against the J1−J2 Heisenberg model on the square lattice and uncover its phase diagram, which hosts long-range ordered Neel and columnar anti-ferromagnetic phases, as well as an intermediate valence-bond solid phase characterized by a periodic pattern of 2×2 strongly-correlated plaquettes. Our results show that the convergence of the algorithm is guided by the onset of long-range order, opening a promising route to synthetically realize frustrated quantum magnets and their quantum phase transition to paramagnetic valence-bond solids with currently developed superconducting circuit devices.

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Yanagisawa, Takashi. "Superconductivity, Antiferromagnetism, and Kinetic Correlation in Strongly Correlated Electron Systems." Advances in Condensed Matter Physics 2015 (2015): 1–5. http://dx.doi.org/10.1155/2015/141263.

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We investigate the ground state of two-dimensional Hubbard model on the basis of the variational Monte Carlo method. We use wave functions that include kinetic correlation and doublon-holon correlation beyond the Gutzwiller ansatz. It is still not clear whether the Hubbard model accounts for high-temperature superconductivity. The antiferromagnetic correlation plays a key role in the study of pairing mechanism because the superconductive phase exists usually close to the antiferromagnetic phase. We investigate the stability of the antiferromagnetic state when holes are doped as a function of the Coulomb repulsionU. We show that the antiferromagnetic correlation is suppressed asUis increased exceeding the bandwidth. High-temperature superconductivity is possible in this region with enhanced antiferromagnetic spin fluctuation and pairing interaction.

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Yanagisawa, Takashi, Kunihiko Yamaji, and Mitake Miyazaki. "On the Kinetic Energy Driven Superconductivity in the Two-Dimensional Hubbard Model." Condensed Matter 6, no. 1 (February 26, 2021): 12. http://dx.doi.org/10.3390/condmat6010012.

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We investigate the role of kinetic energy for the stability of superconducting state in the two-dimensional Hubbard model on the basis of an optimization variational Monte Carlo method. The wave function is optimized by multiplying by correlation operators of site off-diagonal type. This wave function is written in an exponential-type form given as ψλ=exp(−λK)ψG for the Gutzwiller wave function ψG and a kinetic operator K. The kinetic correlation operator exp(−λK) plays an important role in the emergence of superconductivity in large-U region of the two-dimensional Hubbard model, where U is the on-site Coulomb repulsive interaction. We show that the superconducting condensation energy mainly originates from the kinetic energy in the strongly correlated region. This may indicate a possibility of high-temperature superconductivity due to the kinetic energy effect in correlated electron systems.

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Kakehashi, Yoshiro, Sumal Chandra, Derwyn Rowlands, and M. Atiqur R. Patoary. "Momentum-dependent local ansatz approach to correlated electrons." Modern Physics Letters B 28, no. 19 (July 25, 2014): 1430007. http://dx.doi.org/10.1142/s0217984914300075.

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The wavefunction method provides us with a useful tool to describe electron correlations in solids at the ground state. In this paper we review the recent development of the momentum-dependent local ansatz (MLA) wavefunction. It is constructed by taking into account two-particle excited states projected onto the local orbitals, and the momentum-dependent amplitudes of these states are chosen as variational parameters. The MLA describes accurately correlated electron states from the weak to the intermediate Coulomb interaction regime in infinite dimensions, and works well even in the strongly correlated region by introducing a new starting wavefunction called the hybrid (HB) wavefunction. The MLA-HB is therefore shown to overcome the limitation of the original local ansatz (LA) wavefunction as well as the Gutzwiller wavefunction. In particular, the calculated quasiparticle weight versus Coulomb interaction curve is shown to be close to that obtained by the numerical renormalization group approach. It is also shown that the MLA is applicable to the first-principles Hamiltonian.

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Yanagisawa, T., M. Miyazaki, and K. Yamaji. "Phase diagram of cuprate high-temperature superconductors based on the optimization Monte Carlo method." Modern Physics Letters B 34, no. 19n20 (July 3, 2020): 2040046. http://dx.doi.org/10.1142/s0217984920400461.

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It is important to understand the phase diagram of electronic states in the CuO2 plane to clarify the mechanism of high-temperature superconductivity. We investigate the ground state of electronic models with strong correlation by employing the optimization variational Monte Carlo method. We consider the two-dimensional Hubbard model as well as the three-band [Formula: see text]–[Formula: see text] model. We use the improved wave function that takes account of inter-site electron correlation to go beyond the Gutzwiller wave function. The ground state energy is lowered considerably, which now gives the best estimate of the ground state energy for the two-dimensional Hubbard model. The many-body effect plays an important role as an origin of spin correlation and superconductivity in correlated electron systems. We investigate the competition between the antiferromagnetic state and superconducting state by varying the Coulomb repulsion [Formula: see text], the band parameter [Formula: see text] and the electron density [Formula: see text] for the Hubbard model. We show phase diagrams that include superconducting and antiferromagnetic phases. We expect that high-temperature superconductivity occurs near the boundary between antiferromagnetic phase and superconducting one. Since the three-band [Formula: see text]–[Formula: see text] model contains many-band parameters, high-temperature superconductivity may be more likely to occur in the [Formula: see text]–[Formula: see text] model than in single-band models.

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Lanatà, Nicola, Hugo U. R. Strand, Xi Dai, and Bo Hellsing. "Efficient implementation of the Gutzwiller variational method." Physical Review B 85, no. 3 (January 31, 2012). http://dx.doi.org/10.1103/physrevb.85.035133.

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Sherafati, M., S. Satpathy, and D. Pettey. "Gutzwiller variational method for intersite Coulomb interactions: The spinless fermion model in one dimension." Physical Review B 88, no. 3 (July 11, 2013). http://dx.doi.org/10.1103/physrevb.88.035114.

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Turkeshi, Xhek, and Marcello Dalmonte. "Parent Hamiltonian reconstruction of Jastrow-Gutzwiller wavefunctions." SciPost Physics 8, no. 3 (March 16, 2020). http://dx.doi.org/10.21468/scipostphys.8.3.042.

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Variational wave functions have been a successful tool to investigate the properties of quantum spin liquids. Finding their parent Hamiltonians is of primary interest for the experimental realization of these strongly correlated phases, and for gathering additional insights on their stability. In this work, we systematically reconstruct approximate spin-chain parent Hamiltonians for Jastrow-Gutzwiller wave functions, which share several features with quantum spin liquid wave functions in two dimensions. Firstly, we determine the different phases encoded in the parameter space through their correlation functions and entanglement properties. Secondly, we apply a recently proposed entanglement-guided method to reconstruct parent Hamiltonians to these states, which constrains the search to operators describing relativistic low-energy field theories - as expected for deconfined phases of gauge theories relevant to quantum spin liquids. The quality of the results is discussed using different quantities and comparing to exactly known parent Hamiltonians at specific points in parameter space. Our findings provide guiding principles for experimental Hamiltonian engineering of this class of states.

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Asai, Shiono, Shimpei Goto, and Ippei Danshita. "Transition between vacuum and finite-density states in the infinite-dimensional Bose–Hubbard model with spatially inhomogeneous dissipation." Progress of Theoretical and Experimental Physics 2022, no. 3 (January 31, 2022). http://dx.doi.org/10.1093/ptep/ptac011.

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Abstract We analyze the dynamics of the infinite-dimensional Bose–Hubbard model with spatially inhomogeneous dissipation in the hardcore boson limit by solving the Lindblad master equation with use of the Gutzwiller variational method. We consider dissipation processes that correspond to inelastic light scattering in the case of Bose gases in optical lattices. We assume that the dissipation is applied to half of the lattice sites in a spatially alternating manner. We focus on steady states at which the system arrives after long time evolution. We find that when the average particle density is varied, the steady state exhibits a transition between a state in which the sites without dissipation are vacuum and one containing a finite number of particles at those sites. We associate the transition with the notion that the sites with dissipation tend towards a local state at infinite temperature.

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