TY - GEN A1 - Markiewicz, Richard S. A1 - Lorenzana, José A1 - Seibold, Götz A1 - Bansil, Arun T1 - Gutzwiller magnetic phase diagram of the cuprates Y1 - 2010 ER - TY - JOUR A1 - Lorenzana, José A1 - Seibold, Götz T1 - Dynamic properties of inhomogeneous states in cuprates Y1 - 2006 ER - TY - GEN A1 - Bünemann, Jörg A1 - Seibold, Götz T1 - Charge and pairing dynamics in the attractive Hubbard model: Mode coupling and the validity of linear-response theory T2 - Physical Review B N2 - Pump-probe experiments have turned out as a powerful tool in order to study the dynamics of competing orders in a large variety of materials. The corresponding analysis of the data often relies on standard linear-response theory generalized to nonequilibrium situations. Here we examine the validity of such an approach for the charge and pairing response of systems with charge-density wave and (or) superconducting (SC) order. Our investigations are based on the attractive Hubbard model which we study within the time-dependent Hartree-Fock approximation. In particular, we calculate the quench and pump-probe dynamics for SC and charge order parameters in order to analyze the frequency spectra and the coupling of the probe field to the specific excitations. Our calculations reveal that the “linear-response assumption” is justified for small to moderate nonequilibrium situations (i.e., pump pulses) in the case of a purely charge-ordered ground state. However, the pump-probe dynamics on top of a superconducting ground state is determined by phase and amplitude modes which get coupled far from the equilibrium state indicating the failure of the linear-response assumption. KW - Charge density waves KW - Hartree-Fock methods KW - Hubbard model KW - Linear response theory KW - Mean field theory KW - Variational wave functional methods Y1 - 2017 UR - https://journals.aps.org/prb/abstract/10.1103/PhysRevB.96.245139 U6 - https://doi.org/10.1103/PhysRevB.96.245139 SN - 2469-9977 SN - 1538-4489 VL - 96 IS - 24 ER - TY - GEN A1 - Martens, Christian A1 - Seibold, Götz T1 - Non-equilibrium dynamics of stripes in cuprate superconductors T2 - Journal of Magnetism and Magnetic Materials N2 - We use the time-dependent Gutzwiller approximation for the single-band Hubbard model to analyze the non-equilibrium dynamics for stripe ground states. In particular, we are interested in the interplay between spin and charge dynamics which is analyzed by quenching the system either in the charge or spin sector. This allows us to investigate the coupled relaxation dynamics as a function of the supplied energy. Further insight is provided by mapping the Gutzwiller dynamics onto a time-dependent Landau approach which lacks the double occupancy contribution to the time-evolution but allows to tune the coupling between spin- and charge degrees of freedom. KW - Hubbard model KW - Gutzwiller approximation KW - Landau KW - Non-equilibrium KW - Charge order KW - Spin order Y1 - 2022 UR - https://www.sciencedirect.com/science/article/pii/S030488532100812X U6 - https://doi.org/10.1016/j.jmmm.2021.168565 SN - 1873-4766 VL - 543 SP - 1 EP - 4 ER -