The study of geometrically frustrated many-body quantum systems is central importance to uncover novel mechanical effects. We design a scheme where ultracold bosons trapped in one-dimensional state-dependent optical lattice are modeled by Bose-Hubbard Hamiltonian. A derivation the Hamiltonian parameters based on Cesium atoms, further show large tunability contact and nearest-neighbor interactions. For pure repulsion, we discover presence two phases peculiar magnets: bond-order-wave insulator...

One of the most promising applications quantum computing is simulating many-body systems. However, there still a need for methods to efficiently investigate these systems in native way, capturing their full complexity. Here, we propose variational anomaly detection, an unsupervised machine learning algorithm analyze data from simulation. The used extract phase diagram system with no prior physical knowledge and can be performed end-to-end on same device that simulated on. We showcase its...

We propose a protocol to detect topological phase transitions of one-dimensional

The phenomena of superconductivity and charge density waves are observed in close vicinity many strongly correlated materials. Increasing evidence from experiments numerical simulations suggests both can also occur an intertwined manner, where the superconducting order parameter is coupled to electronic density. Employing matrix renormalization group simulations, we investigate nature such state matter stabilized phase diagram elementary $$t-{t}^{{\prime} }-U$$ Hubbard model strong coupling...

Non-Abelian excitations are an interesting feature of many fractional quantum Hall phases, including those phases described by the Moore-Read (or Pfaffian) wave function. However, detection non-Abelian quasiparticles is challenging. Here, we consider a system function and assume that impurity particles bind to its quasiholes. Then, angular momentum impurities, reflected also density, provides useful witness physics excitations. By demanding impurities constrained lowest Landau level, able...

The elementary excitations of a fractional quantum Hall liquid are quasiparticles or quasiholes that neither bosons nor fermions, but so-called anyons. Here we study impurity particles immersed in bind to the via repulsive interactions with liquid. We show angular momentum an is given by multiple ``quantum'' momentum, and can directly be observed from density. In system several impurities bound quasiholes, their total interpolates between values for free fermions bosons. This interpolation...

Deconfined quantum critical points are exotic transition not predicted by the Landau-Ginzburg-Wilson symmetry-breaking paradigm. They associated to a one-point gap closing between distinct locally ordered phases, thus continuous phase transition. Because of this intrinsic criticality, at deconfined algebraic decay all correlation functions is expected. Here, we show that it possible go beyond assumption. Specifically, consider one dimensional interacting fermions where phenomenon spin-charge...

The study of geometrically frustrated many-body quantum systems is central importance to uncover novel mechanical effects. We design a scheme where ultracold bosons trapped in one-dimensional state-dependent optical lattice are modeled by Bose-Hubbard Hamiltonian. A derivation the Hamiltonian parameters based on Cesium atoms, further show large tunability contact and nearest-neighbour interactions. For pure repulsion, we discover presence two phases peculiar magnets: bond-order-wave...

The phenomena of superconductivity and charge density waves are observed in close vicinity many strongly correlated materials. Increasing evidence from experiments numerical simulations suggests both can also occur an intertwined manner, where the superconducting order parameter is coupled to electronic density. Employing matrix renormalization group simulations, we investigate nature such state matter stabilized phase diagram elementary $t$-$t^\prime$-$U$ Hubbard model strong coupling...

We propose a protocol to detect topological phase transitions of one-dimensional $p$-wave superconductors from their harmonic emission spectrum in strong fields. Specifically, we identify spectral features due radiating edge modes, which characterize the and density states phase, are absent trivial phase. These allow us define an order parameter, obtained measurements, that unambiguously differentiates between two phases. Local probing provides insight localized topologically protected...