CRITICAL PHENOMENA, SYMMETRY AND TOPOLOGICAL PHASES IN QUANTUM SYSTEMS.

Operation co-funded by EU cohesion policy (European Regional Development Fund (ERDF)) under the programme Multi-regional Spain - ERDF (2014ES16RFOP002), managing authority: Subdirección General de Gestión del FEDER, de la Dirección General de Fondos Europeos del Ministerio de Hacienda.. The source names no beneficiary for this operation. Location: Province of Granada (NUTS ES614); Spain. Budget: total eligible expenditure EUR 30,250; EU co-financing EUR 24,200 (co-financing rate 80%), as stated by the source. Runs 2019-01-01 to 2021-12-31. Source: Kohesio, EU cohesion policy projects managed by national and regional authorities (not CORDIS). Summary from Kohesio (English machine translation by the source): IN THIS RESEARCH PROJECT WE ARE GOING TO ADDRESS THE STUDY OF CRITICAL PHENOMENA AND PHASE TRANSITIONS IN QUANTUM SYSTEMS. ON THE ONE HAND, WE SHALL STUDY TOPOLOGICAL PHASE TRANSITIONS AND THE QUANTUM HALL EFFECT IN TWO-DIMENSIONAL SYSTEMS (LINE OF RESEARCH A) AND, ON THE OTHER HAND, WE SHALL CONSIDER QUANTUM PHASE TRANSITIONS IN A VARIETY OF ATOMIC, MOLECULAR, NUCLEAR AND CONDENSED MATTER SYSTEMS (LINE OF RESEARCH B). THIS IS A BASIC RESEARCH, THAT WE SHALL ADDRESS FROM A THEORETICAL (MATHEMATICAL PHYSICS) PERSPECTIVE, BUT WITH IMPORTANT IMPLICATIONS AND APPLICATIONS IN DIFFERENT FIELDS. THE STUDY OF THESE PHENOMENA IN QUANTUM SYSTEMS IS CRUCIAL FOR FUTURE TECHNOLOGICAL APPLICATIONS, NAMELY, FOR THE DESIGN AND MANUFACTURING OF INNOVATIVE NANODEVICES WITH EXOTIC PROPERTIES, FOR A GREATER DEVELOPMENT OF NEXT GENERATION ELECTRONIC AND SPINTRONIC, AS WELL AS FOR THEIR APPLICATIONS IN COMPUTATION AND INFORMATION QUANTUM THEORY. IN PARTICULAR, WE SHALL TACKLE THE STUDY OF TOPOLOGICAL PHASE TRANSITIONS IN TWO-DIMENSIONAL SYSTEMS, STUDYING MAGNETO-OPTICAL PROPERTIES OF THESE MATERIALS AND DETERMINING THEIR RELATION WITH THE TOPOLOGICAL PHASES THAT APPEAR IN THEM. WE SHALL ALSO ADDRESS THE STUDY OF THE N-COMPONENT FRACTIONAL QUANTUM HALL EFFECT AND THE NONLINEAR SIGMA MODELS THAT DESCRIBE THEM, ANALYZING THE HILBERT SPACE, COHERENT STATES, STATE RECONSTRUCTION, LOW-ENERGY DYNAMICS AND THE PHASE DIAGRAM OF MULTILAYER QUANTUM HALL EFFECT. WE SHALL TACKLE THE STUDY OF GENERALIZED ALGEBRAIC MODELS OF QUANTUM SYSTEMS AND THE CLASSIFICATION OF THE QUANTUM PHASES THAT THEY EXHIBIT. WE SHALL ALSO STUDY THE WAVE PACKET DYNAMICS IN QUANTUM PHASE TRANSITIONS. THE OUTLINED RESEARCH PROJECT IS A THEORETICAL PROJECT THAT WILL BE DEVELOPED USING DIFFERENT, ANALYTICAL AND COMPUTATIONAL, WORKING METHODS IN WHICH THE RESEARCH TEAM HAS EXPERIENCE.

Original source.

Source: Kohesio (EU cohesion policy projects), European Commission, Directorate-General for Regional and Urban Policy (DG REGIO). Retrieved 2026-10-21. Licence: CC0 1.0 (Cohesion Open Data Platform, dataset 2014-2020 Kohesio projects). Selected metadata, adapted presentation; the publisher's record is authoritative. No endorsement by the source is implied. Licence: public domain dedication (CC0 1.0).

AI-assisted summary: The project titled "Critical Phenomena, Symmetry and Topological Phases in Quantum Systems" is co-funded by the EU under the ERDF, with a budget of EUR 30,250. It focuses on studying critical phenomena and phase transitions in various quantum systems from 2019 to 2021. Suggested technology pillar: simulation. Generated by AI from the public source text; it may contain errors and the original source is authoritative.