A5075397712- Topological Materials and Phenomena
- Quantum many-body systems
- Quantum and electron transport phenomena
- Cold Atom Physics and Bose-Einstein Condensates
- Quantum Information and Cryptography
- Advanced Condensed Matter Physics
- Graphene research and applications
- Physics of Superconductivity and Magnetism
- Advanced Thermodynamics and Statistical Mechanics
- Geometry and complex manifolds
- Black Holes and Theoretical Physics
- Crystallography and Radiation Phenomena
- Atomic and Subatomic Physics Research
- Quantum Computing Algorithms and Architecture
- Quantum chaos and dynamical systems
- Quantum Mechanics and Applications
- Magnetic and transport properties of perovskites and related materials
- Topological and Geometric Data Analysis
- High-pressure geophysics and materials
- Quantum, superfluid, helium dynamics
Weizmann Institute of Science
2019-2023
Tel Aviv University
2015-2019
In the presence of symmetry, entanglement measures quantum many-body states can be decomposed into contributions from distinct symmetry sectors. Here we investigate decomposability negativity, a measure between two parts generally open system in mixed state. While entropy subsystem within closed resolved according to its total preserved charge, find that negativity subsystems may associated with their charge imbalance. We show this charge-imbalance decomposition measured by employing...
The combination of interactions and static gauge fields plays a pivotal role in our understanding strongly-correlated quantum matter. Cold atomic gases endowed with synthetic dimension are emerging as an ideal platform to experimentally address this interplay quasi-one-dimensional systems. A fundamental question is whether these setups can give access pristine two-dimensional phenomena, such the fractional Hall effect, how. We show that unambiguous signatures bosonic fermionic Laughlin-like...
Alkaline-earth(-like) ultracold atoms, trapped in optical lattices and the presence of an external gauge field, can stabilise Mott insulating phases characterised by density magnetic order. We show that this property be used to realise a topological fractional pump. Our analysis is based on many-body adiabatic expansion time-dependent matrix-product-states numerical simulations. characterise pumping protocol including both finite-size non-adiabatic corrections. For specific form atom-atom...
We study the entanglement spectrum of topological systems hosting non-Abelian anyons. Akin to energy levels a Hamiltonian, is composed symmetry multiplets. find that ratio between different eigenvalues within one multiplet universal and determined by anyonic quantum dimensions. This result consequence conservation total charge. For with order, this generalizes known degeneracies spectrum, which are hallmarks states. Experimental detection these signatures may become possible in Majorana...
The recent direct experimental measurement of quantum entanglement paves the way towards a better understanding many-body systems and their correlations. Nevertheless, theoretical advances had so far been predominantly limited to bosonic systems. Here, we study fermionic Using setups where multiple copies same state are prepared, arbitrary order Renyi entropies negativities can be extracted by utilizing spatially-uniform beam splitters on-site occupation measurement. As an example, simulate...
Crystalline topological phases have recently attracted a lot of experimental and theoretical attention. Key advances include the complete elementary band representation analyses crystalline matter by symmetry indicators discovery higher-order hinge corner states. However, current classification schemes such are either implicit or limited in scope. We present scheme for explicit insulators superconductors. These protected crystallographic point group symmetries characterized bulk invariants....
We study bosonic and fermionic quantum two-leg ladders with orbital magnetic flux. In such systems, the ratio, $\nu$, of particle density to flux shapes phase-space, as in Hall effects. (bosonic) ladders, when $\nu$ equals one over an odd (even) integer, Laughlin fractional (FQH) states are stabilized for sufficiently long ranged repulsive interactions. As a signature these states, we find unique dependence chiral currents on This is characterized by filling factor forms stringent test...
The phenomenon of charge fractionalization describes the emergence novel excitations with fractional quantum numbers, as predicted in strongly correlated systems such spin liquids. We elucidate that precisely an unusual effect may occur simplest possible non-Fermi liquid, two-channel Kondo effect. To bring this concept down to experimental test, we study nonequilibrium transport through a device realizing critical point recent experiment by Iftikhar et al. [Nature (London) 526, 233 (2015)]....
We depict a family of one-dimensional systems where one can create and detect fractional charges. These charges are produced via interacting conductors connected to noninteracting leads. At certain electron densities, some distinct modes develop an energy gap due electron-electron interactions. This allows for tunneling events inside the conductor, which generate electric current noise. The resulting noise's Fano factor depends only on identification gapped mode, is insensitive additional...
The authors derive the current and noise correlation that will be measured in a setup consisting of two counter-propagating fractional quantum Hall edge modes, strongly coupled to superconductor by proximity. These reveal signatures parafermion zero fractionalized generalizations Majorana modes. values are obtained using both perturbative calculations mapping onto an exact solution.
The authors propose a relaxation mechanism in spin-polarized two-dimensional triplet superconductors which does not require the creation of vortices. When voltage is applied to system, this leads an anomalous alternating-current Josephson effect.
The entanglement entropy in one-dimensional critical systems with boundaries has been associated the noninteger ground-state degeneracy. This quantity, being a characteristic of boundary fixed points, decreases under renormalization group flow, as predicted by g theorem. Here, using conformal field theory methods, we exactly calculate Ising universality class. Our expression can be separated into well-known bulk term and term, displaying universal flow between two conditions, accordance...
Topological insulator-based methods underpin the topological classification of gapped bands, including those surrounding semimetallic nodal defects. However, multiple bands with gap-closing points can also possess nontrivial topology. We construct a general wave-function-based "punctured-Chern" invariant to capture such To show its applicability, we analyze two systems disparate gapless topology: (1) recent two-dimensional fragile model various band-topological transitions and (2)...
The celebrated tenfold way of Altland-Zirnbauer symmetry classes discern any quantum system by its pattern nonspatial symmetries. It lays at the core periodic table topological insulators and superconductors which provided a complete classification weakly interacting electrons' noncrystalline phases for all classes. Over recent years, plethora phenomena with diverse surface states has been discovered in crystalline materials. In this paper, we obtain an exhaustive topologically distinct...
We present a scalable, robust approach to creating quantum programs of arbitrary size and complexity. The is based on the true abstraction problem. program expressed in terms high-level model together with constraints objectives final program. Advanced synthesis algorithms transform into low-level that meets user's specification directed at stipulated hardware. This separation description from implementation essential for scale. technology adapts electronic design automation methods...
Synthetic ladders pierced by a magnetic field realized with one-dimensional alkaline-earth(-like) fermionic gases represent promising environment for the investigation of quantum-Hall physics ultracold atoms. We unveil existence hierarchy insulating and conducting states which appear at fractional filling factors means both analytical numerical methods based on density-matrix renormalization group algorithm. Analogously to original quantum Hall effect, we show that such can be exploited...
Topological insulator-based methods underpin the topological classification of gapped bands, including those surrounding semi-metallic nodal defects. However, multiple bands with gap-closing points can also possess non-trivial topology. We construct a general wavefunction-based ``punctured-Chern" invariant to capture such To show its applicability, we analyze two systems disparate gapless topology: 1) recent two-dimensional fragile model various band-topological transitions and 2)...