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Titlebook: Strongly Coupled Field Theories for Condensed Matter and Quantum Information Theory; Proceedings, Interna Alvaro Ferraz,Kumar S. Gupta,Pasq

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Entanglement Content of Many-Body States via Concurrence, Negativity and Schmidt Gap, Schmidt gap, can be effective as an order parameter for phase transitions in which only the entanglement structure of a many-body system changes. We exemplify using equilibrium states of short-range and impurity models and their quantum phase transitions.
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Finite Size Effects in Topological Quantum Phase Transitions,e critical exponents obey a quantum hyperscaling relation. We study finite size effects at topological transitions and show they exhibit universal behavior due to scaling. We discuss the possibility that they become discontinuous as a consequence of these effects and point out the relevance of our study for real systems.
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Quantum Thermodynamics at Impurity Quantum Phase Transitions,-size scaling at quantum criticality. Our approach predicts the equilibrium critical exponents for the crossover length and the order parameter of the model, and, moreover, implies a new exponent for the rescaled irreversible work.
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Information Delocalization in Many Body Systems: From MBL Phases to Black Holes,-Body-Localized (MBL) phases, and systems displaying large-N factorization. For the last class of models, and as expected from the AdS/CFT correspondence, we find similar results when studying entropy evolution in black hole collapse scenarios.
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Generalized Entanglement Entropy in New Spin Chains,t can provide the whole spectrum of an entangled subsystem. We find non-analytic behavior of the Rényi entropy that can be regarded as a phase transition never seen in any other spin chain investigated so far. This new phase transition indicates unique and rich structures of the entanglement spectrum.
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Quantized Vortex Lines in BECs with a Generalized Equation of State,and solve them both numerically and by a convenient ansatz for the wavefunction of the vortex state originally introduced by Fetter. Interesting generalization of this work include the study of the static properties of vortex lines in mixtures of BECs and condensates with non-local interactions, such as dipolar atoms.
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Majorana Zero-Energy Modes in a Magnetic Field-Free Quantum Wire,split Fermi points of the system, leaving a helical Luttinger liquid state at the remaining gapless points. This state enters the target topological phase for a certain regime of the proximity-induced pairing. This all-electric setup does not rely on a magnetic field.
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tum field theories. It also analyzes their use for describing new quantum states, which are physically realizable in condensed matter, cold-atomic systems, as well as artificial materials. It particularly focuses on the engineering of these states in quantum devices and novel materials useful for qu
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