57 citations · 283 across the 25 of their papers we have counts for
25 papers
Geometry Dependence of Error Thresholds in Two-Dimensional Toric Codes
D. Lessing, A. Langheld, C. Krämer +2
We investigate how the lattice geometry influences the error thresholds of two-dimensional toric codes. In the presence of bit- or phase-flip errors, the toric code maps onto the t…
Effective quasiparticle conserving Lindbladians in the thermodynamic limit
Lea Lenke, Kai Phillip Schmidt
Open quantum many-body systems are commonly described by Lindblad master equations, yet the treatment of Lindbladian operators in the thermodynamic limit remains a major challenge.…
Unconventional topological order in the kagome XY toric code
C. Kölbl, M. Vieweg, K. P. Schmidt
We investigate the quantum phase diagram of the XY toric code (XYTC) on the kagome lattice consisting of hexagonal and triangular plaquette operators and conserved star operat…
Symmetry breaking and competing valence bond states in the star lattice Heisenberg antiferromagnet
Pratyay Ghosh, Jan Koziol, Samuel Nyckees +2
We investigate the ground state phase diagram of the spin- antiferromagnetic Heisenberg model on the star lattice using infinite projected entangled pair states (iPEPS) and hi…
Absence of topological order in the checkerboard toric code
M. Vieweg, V. Kott, L. Lenke +2
We investigate the checkerboard toric code which corresponds to the -symmetry enriched toric code with two distinct star sublattices. One can therefore tune from the l…
Fracton and topological order in the XY checkerboard toric code
M. Vieweg, K. P. Schmidt
We introduce the XY checkerboard toric code. It represents a generalization of the toric code with two types of star operators with and flavor and two anisot…
Quantum-critical properties of the one- and two-dimensional random transverse-field Ising model from large-scale quantum Monte Carlo simulations
C. Krämer, J. A. Koziol, A. Langheld +2
We study the ferromagnetic transverse-field Ising model with quenched disorder at in one and two dimensions by means of stochastic series expansion quantum Monte Carlo simu…
Quantum robustness of the toric code in a parallel field on the honeycomb and triangular lattice
V. Kott, M. Mühlhauser, J. A. Koziol +1
We investigate the quantum robustness of the topological order in the toric code on the honeycomb lattice in the presence of a uniform parallel field. For a field in -direction,…
(Almost) Everything is a Dicke model -- Mapping non-superradiant correlated light-matter systems to the exactly solvable Dicke model
Andreas Schellenberger, Kai Phillip Schmidt
We investigate classes of interacting quantum spin systems in a single-mode cavity with a Dicke coupling, as a paradigmatic example of strongly correlated light-matter systems. Com…
Incorporating non-local anyonic statistics into a graph decomposition
M. Mühlhauser, V. Kott, K. P. Schmidt
In this work we describe how to systematically implement a full graph decomposition to set up a linked-cluster expansion for the topological phase of Kitaev's toric code in a field…
Order-by-disorder in the antiferromagnetic -- transverse-field Ising model on the ruby lattice
A. Duft, J. A. Koziol, P. Adelhardt +2
We investigate the quantum phase diagram of the -- antiferromagnetic transverse-field Ising model on the ruby lattice. In the low-field limit we derive an effective…
Quantum phases of hardcore bosons with repulsive dipolar density-density interactions on two-dimensional lattices
J. A. Koziol, G. Morigi, K. P. Schmidt
We analyse the ground-state quantum phase diagram of hardcore Bosons interacting with repulsive dipolar potentials. The bosons dynamics is described by the extended-Bose-Hubbard Ha…
Series expansions in closed and open quantum many-body systems with multiple quasiparticle types
L. Lenke, A. Schellenberger, K. P. Schmidt
The established approach of perturbative continuous unitary transformations (pCUTs) constructs effective quantum many-body Hamiltonians as perturbative series that conserve the num…
Systematic Analysis of Crystalline Phases in Bosonic Lattice Models with Algebraically Decaying Density-Density Interactions
J. A. Koziol, A. Duft, G. Morigi +1
We propose a general approach to analyse diagonal ordering patterns in bosonic lattice models with algebraically decaying density-density interactions on arbitrary lattices. The ke…
Continuously varying critical exponents in long-range quantum spin ladders
P. Adelhardt, K. P. Schmidt
We investigate the quantum-critical behavior between the rung-singlet phase with hidden string order and the Néel phase with broken -symmetry on quantum spin ladders with al…
Competing topological orders in three dimensions: X-cube versus toric code
M. Mühlhauser, K. P. Schmidt, J. Vidal +1
We study the competition between two different topological orders in three dimensions by considering the X-cube model and the three-dimensional toric code. The corresponding Hamilt…
Effects of domain walls in bilayer graphene in an external magnetic field
N. S. Bassler, K. P. Schmidt
We investigate bilayer graphene systems with layer switching domain walls separating the two energetically equivalent Bernal stackings in the presence of an external magnetic field…
Quantum criticality of the transverse-field Ising model with long-range interactions on triangular-lattice cylinders
J. Koziol, S. Fey, S. C. Kapfer +1
To gain a better understanding of the interplay between frustrated long-range interactions and zero-temperature quantum fluctuations, we investigate the ground-state phase diagram…
The Higgs Mode of Planar Coupled Spin-Ladders and its Observation in CHNCuBr
Tao Ying, Kai P. Schmidt, Stefan Wessel
Polarized inelastic neutron scattering experiments recently identified the amplitude (Higgs) mode in CHNCuBr, a two-dimensional near-quantum-critical spin-1/2 tw…
Magnetic chern bands and triplon Hall effect in an extended Shastry-Sutherland model
M. Malki, K. P. Schmidt
We study topological properties of one-triplon bands in an extended Shastry-Sutherland model relevant for the frustrated quantum magnet SrCu_2(BO_3)_2. To this end perturbative con…
Mutually attracting spin waves in the square-lattice quantum antiferromagnet
M. Powalski, K. P. Schmidt, G. S. Uhrig
The Heisenberg model for S=1/2 describes the interacting spins of electrons localized on lattice sites due to strong repulsion. It is the simplest strong-coupling model in condense…
Non-perturbative linked-cluster expansions in long-range ordered quantum systems
D. Ixert, K. P. Schmidt
We introduce a generic scheme to perform non-perturbative linked cluster expansions in long-range ordered quantum phases. Clusters are considered to be surrounded by an ordered ref…
Non-perturbative linked-cluster expansions for the trimerized ground state of the spin-one Kagome Heisenberg model
D. Ixert, T. Tischler, K. P. Schmidt
We use non-perturbative linked-cluster expansions to determine the ground-state energy per site of the spin-one Heisenberg model on the kagome lattice. To this end, a parameter is…
Mott physics in the half-filled Hubbard model on a family of vortex-full square lattices
D. Ixert, F. F. Assaad, K. P. Schmidt
We study the half-filled Hubbard model on a one-parameter family of vortex-full square lattices ranging from the isotropic case to weakly coupled Hubbard dimers. The ground-state p…