Proceedings, 18th International Conference on Recent Progress in Many-Body Theories (MBT18): Niagara Falls, NY, USA, August 16-21, 2015 Of the three standard classifying symmetries, only time-reversal represents a real symmetry of the many-boson system, the other two, particle-hole and chiral, are simply constraints that manifest as symmetries of the effective single-particle... We develop an operator-based description of two types of multimode-entangled single-neutron quantum optical devices: Wollaston prisms and radio-frequency spin flippers in inclined magnetic-field gradients. Through the latter, aspects of the effective field theory des... We present a mathematical framework based on quantum interval-valued probability measures to study the effect of experimental imperfections and finite precision measurements on defining aspects of quantum mechanics such as contextuality and the Born rule. Claude . Because our criterion is based on the concept of many-body fermionic parity switches, it is directly associated to the observation of the fractional Josephson effect and indicates the emer... We study Kondo physics of a spin- 1/2 impurity in electronic matter with strong spin-orbit interaction, which can be realized by depositing magnetic adatoms on the surface of a three-dimensional topological insulator.We show that magnetic properties of topological surface states and the very existence of Kondo screening strongly depend on details o... Systems of free fermions are classified by symmetry, space dimensionality, We consider a situation where atoms in two internal states experience different lattice... We introduce a novel tool for analyzing complex network dynamics, allowing for cascades of causally-related events, which we call causal webs (c-webs), to be separated from other non-causally-related events. This condition is treated on average in a composite particle This theory is obtained by bounds on arbitrary correlation functions... We show that the hyperbolic family of Richardson-Gaudin models could describe p-wave superfluids in two dimensional lattices. 104, 020402 (2010). The development of qualitatively new measurement capabilities is often a prerequisite for critical scientific and technological advances. "Quantum algorithms for fermionc simulations", G. Ortiz, J.E. PDF. Conventional quantum computing entails a geometry based on the description of We find that the... We establish a criterion for characterizing superfluidity in interacting, particle-number conserving systems of fermions as topologically trivial or non-trivial. Area of Research: Quantum Information "Quantum-mechanical position operator and localization in extended systems", A.A. Aligia and G. Ortiz, Phys. radii of convergence correspond to the extent of these phases. Based on the exact eigenstate we will discuss the Cooper-pair concept proposing a scenario for the BCS-to-BEC crossover in which a mixture of quasifree fermions... We present a time-reversal invariant s-wave superconductor supporting I am also concerned with topics of potential overlap between my two research disciplines, where feedback from one field may help to resolve significant problems in the other. Professor, Mathematics. Rev. The critical point coincides with the deconfinement of a s... A new "bond-algebraic" approach to duality transformations provides a very Rev. February 17, 2020. Gerardo Ortiz Department of Physics - Indiana University Many-body Methods for Real Materials - September 2019 liquid solid gas critical point p T Liquid-Gas transition critical point H T ferromagnet paramagnet Ferromagnetic transition Hidden Z2 symmetry at the critical point Z2 symmetry Algebraic Methods in Many-Body Physics In two space dimensions, we obtain the A. Aligia, Phys. After receiving his Ph.D. in Theoretical Physics at the Swiss Federal Institute of Technology, Gerardo Ortiz continued his career in the US, first, as a postdoctoral fellow at the University of Illinois at Urbana-Champaign, and then as an Oppenheimer fellow at the Los Alamos National Laboratory where he stayed as a permanent staff member until 2006. Collaborators: Zohar Nussinov: Washington University - St. Louis Alexander Seidel: Washington University - St. Louis Jorge Dukelsky: CSIC - Madrid arXiv:1306.3268 Tuesday, August 6, 2013. 80, 353 (1998). We 85, 4755 (2000). https://math.indiana.edu › about › faculty › ortiz-gerardo.html In a recent paper [ Phys. [ A. Alase et al., Phys consequently exhibit high sensitivity to parameter! Kotov et al both experimental and theoretical materials research show how to generically solve partition! Third order quantum phase transition these expon... we present a mapping of elementary fermion onto... 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