A5078581746- Black Holes and Theoretical Physics
- Cosmology and Gravitation Theories
- Particle physics theoretical and experimental studies
- Noncommutative and Quantum Gravity Theories
- Quantum Chromodynamics and Particle Interactions
- Quantum many-body systems
- Quantum, superfluid, helium dynamics
- Quantum chaos and dynamical systems
- Physics of Superconductivity and Magnetism
- High-Energy Particle Collisions Research
- Quantum and electron transport phenomena
- Pulsars and Gravitational Waves Research
- Astrophysical Phenomena and Observations
- Nonlinear Waves and Solitons
- Theoretical and Computational Physics
- Quantum Mechanics and Non-Hermitian Physics
- Cold Atom Physics and Bose-Einstein Condensates
- Quantum Electrodynamics and Casimir Effect
- Algebraic structures and combinatorial models
- Quantum Information and Cryptography
- Quantum Mechanics and Applications
- Topological Materials and Phenomena
- Quantum Computing Algorithms and Architecture
- Mathematical Dynamics and Fractals
- Advanced Thermodynamics and Statistical Mechanics
University of Würzburg
2017-2025
Complexity and Topology in Quantum Matter
2020-2024
Instituto de Física Teórica
2022-2024
Max Planck Institute for Physics
2009-2018
Ludwig-Maximilians-Universität München
2007-2017
Uppsala University
2017
Max Planck Society
2007-2015
Institute of Theoretical Physics
2013
Isotopen Technologien München (Germany)
2013
Universidad Autónoma de Madrid
2012
We study gravity duals of large N nonsupersymmetric gauge theories with matter in the fundamental representation by introducing a D7-brane probe into deformed AdS backgrounds. In particular, we consider both Schwarzschild black hole solution and background found Constable Myers, which involves nonconstant dilaton ${S}^{5}$ radius. Both these backgrounds exhibit confinement discrete glueball meson spectrum. numerically compute $\overline{\ensuremath{\Psi}}\ensuremath{\Psi}$ condensate...
We review recent progress in studying mesons within gauge/gravity duality, the context of adding flavour degrees freedom to generalizations AdS/CFT correspondence. Our main focus is on "top-down approach" considering models constructed string theory. explain string-theoretical constructions detail, aiming at non-specialists. These give rise a new way describing strongly coupled confining large-N gauge theories similar QCD. In particular, we consider gravity dual descriptions spontaneous...
A bstract Krylov complexity measures the spread of wavefunction in basis, which is constructed using Hamiltonian and an initial state. We investigate evolution maximally entangled state basis for both chaotic non-chaotic systems. For this purpose, we derive Ehrenfest theorem complexity, reveals its close relation to spectrum. Our findings suggest that neither linear growth nor saturation necessarily associated with chaos. However, systems, observe a universal rise-slope-ramp-plateau behavior...
We study four-dimensional superconformal field theories coupled to three-dimensional boundary or defect degrees of freedom. Starting with bulk $\mathcal{N}=2,$ $d=4$ theories, we construct Abelian models preserving $d=3$ supersymmetry and the conformal symmetries under which boundary/defect is invariant. write action, including terms, in superspace. Moreover derive Callan-Symanzik equations for these using their transformation properties show that beta functions vanish all orders...
Clarifying the locality properties of higher-spin gravity is a pressing task, but notoriously difficult due to absence weakly-coupled flat regime. The simplest non-trivial case where this question can be addressed quartic self-interaction AdS scalar field present in multiplet. We investigate issue context holographic duality between minimal bosonic theory on AdS4 and free O(N) vector model three dimensions. In particular, we determine exact explicit form derivative expansion bulk vertex....
We numerically construct asymptotically Anti-de Sitter charged black hole solutions of (4+1)-dimensional SU(2) Einstein-Yang-Mills theory that, for sufficiently low temperature, develop vector hair. Via gauge-gravity duality, these describe a strongly-coupled conformal field at finite temperature and density that undergoes phase transition to superfluid state with spontaneously broken rotational symmetry (a p-wave state). The bulk has single free parameter, the ratio five-dimensional...
Within holography, we calculate the contribution of an arbitrary spin-s gauge boson exchange in AdS d+1 to four-point function with scalar operators on boundary. As important ingredient, first compute complete bulk-to-bulk propagators for massless bosonic higher-spin fields metric-like formulation, any dimension and various gauges. The split representation terms bulk-to-boundary allows present diagram form a conformal partial wave expansion. Our results provide step towards larger goal...
We consider subregion complexity within the AdS3/CFT2 correspondence. rewrite volume proposal, according to which of a reduced density matrix is given by spacetime contained inside associated Ryu-Takayanagi (RT) surface, in terms an integral over curvature. Using Gauss-Bonnet theorem we evaluate this quantity for general entangling regions and temperature. In particular, find that discontinuity occurs under change RT surface fixed topological contribution, independent temperature or details...
A bstract We further advance the study of notion computational complexity for 2d CFTs based on a gate set built out conformal symmetry transformations. Previously, it was shown that by choosing suitable cost function, resulting functional is equivalent to geometric (group) actions coadjoint orbits Virasoro group, up term originates from central extension. show this can be recovered modifying making equivalence exact. Moreover, we generalize our approach Kac-Moody groups, finding again an...
We establish how the Breitenlohner-Freedman (BF) bound is realized on tilings of two-dimensional Euclidean Anti-de Sitter space. For continuum, BF states that spaces, fluctuation modes remain stable for small negative mass squared m^{2}. This follows from a real and positive total energy gravitational system. finite cutoff ϵ, we solve Klein-Gordon equation numerically regular hyperbolic tilings. When ϵ→0, find continuum approached in manner independent tiling. confirm these results via...
A bstract Using spread complexity and entropy, we study non-unitary quantum dynamics. For non-hermitian Hamiltonians, extend the bi-Lanczos construction for Krylov basis to Schrödinger picture. Moreover, implement an algorithm adapted complex symmetric Hamiltonians. This reduces computational memory requirements by half compared construction. We apply this one-dimensional tight-binding Hamiltonian subject repeated measurements at fixed small time intervals, resulting in effective find that...
We demonstrate how tabletop settings combining hyperbolic lattices with nonlinear dynamics universally encode aspects of the bulk-boundary correspondence between gravity in anti-de-Sitter (AdS) space and conformal field theory (CFT). Our concrete broadly applicable holographic toy model simulates gravitational self-interactions bulk features an emergent CFT nontrivial correlations on boundary. measure data contained two- three-point functions clarify a thermal is simulated through effective...
A bstract We consider the computation of volumes contained in a spatial slice AdS 3 terms observables dual CFT. Our main tool is kinematic space, defined either from bulk perspective as space oriented geodesics, or CFT entangling intervals. give an explicit formula for volume general region integral over space. For lying below geodesic, we show how to write this purely entropies This expression perhaps most interesting light complexity = proposal, which posits that holographic quantum states...
A review of Boundary and defect conformal field theory: open problems applications, following a workshop held at Chicheley Hall, Buckinghamshire, UK, 7–8 Sept. 2017. We attempt to provide broad, bird's-eye view the latest progress in boundary theory various sub-fields theoretical physics, including renormalization group, integrability, bootstrap, topological theory, supersymmetry, holographic duality, more. also discuss questions promising research directions each these sub-fields,...