Search results for "Fermionic systems"

showing 2 items of 2 documents

Uhlmann number in translational invariant systems

2019

We define the Uhlmann number as an extension of the Chern number, and we use this quantity to describe the topology of 2D translational invariant Fermionic systems at finite temperature. We consider two paradigmatic systems and we study the changes in their topology through the Uhlmann number. Through the linear response theory we linked two geometrical quantities of the system, the mean Uhlmann curvature and the Uhlmann number, to directly measurable physical quantities, i.e. the dynamical susceptibility and to the dynamical conductivity, respectively.

0301 basic medicineSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciMathematics::Analysis of PDEsFOS: Physical scienceslcsh:MedicineCurvatureArticleCondensed Matter - Strongly Correlated Electrons03 medical and health sciences0302 clinical medicineTopological insulatorsInvariant (mathematics)lcsh:ScienceCondensed Matter - Statistical MechanicsMathematicsMathematical physicsPhysical quantityQuantum PhysicsMultidisciplinaryChern classStatistical Mechanics (cond-mat.stat-mech)Strongly Correlated Electrons (cond-mat.str-el)lcsh:RUhlmann number Chern number 2D topological Fermionic systems finite temperature dynamical susceptibility dynamical conductivity030104 developmental biologylcsh:QQuantum Physics (quant-ph)Theoretical physicsLinear response theory030217 neurology & neurosurgeryScientific Reports
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Unconventional phases of attractive Fermi gases in synthetic Hall ribbons

2017

An innovative way to produce quantum Hall ribbons in a cold atomic system is to use M hyperfine states of atoms in a one-dimensional optical lattice to mimic an additional "synthetic dimension." A notable aspect here is that the SU(M) symmetric interaction between atoms manifests as "infinite ranged" along the synthetic dimension. We study the many-body physics of fermions with SU(M) symmetric attractive interactions in this system using a combination of analytical field theoretic and numerical density-matrix renormalization-group methods. We uncover the rich ground-state phase diagram of the system, including unconventional phases such as squished baryon fluids, shedding light on many-body…

AtomsHyperfine stateField (physics)One dimensional optical latticeGround statePhase separationQuantum Hall effectHadronsGround state phase diagram01 natural sciencesAttractive interactions010305 fluids & plasmasSuperfluidityHall effectQuantum mechanicsShedding light0103 physical sciencesddc:530010306 general physicsFermionsQuantumWave functionsPhysicsOptical latticeCondensed matter physicsFermionFermionic systemsElectron gasOptical latticesQuantum theoryDewey Decimal Classification::500 | Naturwissenschaften::530 | PhysikNumerical methodsFermi gasDensity matrix renormalization group methodsStatistical mechanicsPairing correlations
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