Bosonic two-mode squeezed states are paradigmatic entangled Gaussian that have wide utility in quantum information and metrology. Here, we show the basic structure of these can be generalized to arbitrary bipartite systems a manner allows simultaneous, Heisenberg-limited estimation two independent parameters for finite-dimensional systems. Further, general always stabilized by relatively simple Markovian dissipative process. In specific case where subsystems ensembles two-level atoms or...

We study the dynamical behaviour of ultracold fermionic atoms loaded into an optical lattice under presence effective magnetic flux, induced by spin-orbit coupled laser driving. At half filling, resulting system can emulate a variety iconic spin-1/2 models such as Ising model, XY generic XXZ model with arbitrary anisotropy, or collective one-axis twisting model. The validity these different spin is examined across parameter space flux and driving strength. In addition, there regime where...

We perform resonant fluorescence lifetime measurements on a nanocavity-coupled erbium ensemble as function of cavity-laser detuning and pump power. Our reveal an anomalous three-fold suppression the Purcell factor at zero cavity high fluence. capture qualitative aspects this decay rate using Tavis–Cummings model non-interacting spins coupled to common cavity.

We perform single-molecule partitioning measurements of the free energy chain confinement and self-exclusion as a function dimension buffer ionic strength via Tetris. Individual DNA chains, confined in nanoslit with lattice embedded nanocavities, partition their contour between cavities. Changes device geometry chemistry lead to changes number cavities occupied. are able deduce difference nanocavities by observing how occupied single varies dimension. These enable us confirm theoretical...

We describe a theoretical scheme for generating scalable spin squeezing with nearest-neighbor interactions between spin-1/2 particles in three-dimensional (3D) lattice, which are naturally present state-of-the-art 3D optical lattice clocks. propose to use strong isotropic Heisenberg within individual planes of the forcing constituent spin-1/2s behave as large collective spins. These spins then coupled $XXZ$ anisotropic along third direction lattice. This system can be realized via...

Measurement-based quantum computation, an alternative paradigm for information processing, uses simple measurements on qubits prepared in cluster states, a class of multiparty entangled states with useful properties. Here we propose and analyze scheme that takes advantage the interplay between spin-orbit coupling superexchange interactions, presence coherent drive, to deterministically generate macroscopic arrays fermionic alkaline earth atoms trapped three dimensional (3D) optical lattices....

We study multilevel fermions in an optical lattice described by the Hubbard model with on site SU($n$)-symmetric interactions. show that appropriate parameter regime this system can be mapped onto a spin all-to-all couplings. Raman pulses address internal states modify atomic dispersion relation and induce spin-orbit coupling, which act as synthetic inhomogeneous magnetic field competes SU($n$) exchange investigate mean-field dynamical phase diagram of resulting function $n$ different...

We theoretically study the dynamics of $n$-level spin-orbit coupled alkaline-earth fermionic atoms with SU($n$) symmetric interactions. consider three dimensional lattices tunneling along one dimension, and internal levels treated as a synthetic realizing an $n$-leg flux ladder. Laser driving is used to couple induce effective magnetic through focus on dense strongly interacting regime, where in absence system behaves Mott insulator suppressed motional dynamics. At integer fractional ratios...

We analyze a modified Bose-Hubbard model, where two cavities having on-site Kerr interactions are subject to two-photon driving and correlated dissipation. derive an exact solution for the steady state of this interacting driven-dissipative system, use it show that system permits preparation stabilization pure entangled non-Gaussian states, so-called cat states. Unlike previous proposals dissipative such our approach requires only linear coupling single engineered reservoir (as opposed...

Here we explore thermally driven contour fluctuations within a single DNA chain partitioned between two embedded cavity reservoirs in nanofluidic slit. Analysis of integrated intensity suggests that is exchanged dynamically the via modes resemble symmetric and antisymmetric coupled harmonic oscillator. The relaxation time measured as function width spacing. Langevin dynamics simulations reproduce our observations motivate free energy model with blob-type hydrodynamic friction, developed used...

We study a driven, spin-orbit coupled fermionic system in lattice at the resonant regime where drive frequency equals Hubbard repulsion, for which nontrivial constrained dynamics emerge fast timescales. An effective density-dependent tunneling model is derived, and it examined sparse filling one dimension. The exhibits entropic self-localization, while even numbers of atoms propagate ballistically, odd form localized bound states induced by an attraction from higher configurational entropy....

Entangled spin squeezed states generated via dipolar interactions in lattice models provide unique opportunities for quantum enhanced sensing and are now within reach of current experiments. A critical question this context is which parameter regimes offer the best prospects under realistic conditions. Light scattering deep lattices can induce significant decoherence strong Stark shifts, while shallow face motional as a fundamental obstacle. Here we analyze interplay between motion squeezing...

Abstract Protocols for designing and manipulating qubits with ultracold alkali atoms in 3D optical lattices are introduced. These formed from two‐atom spin superposition states that create a decoherence‐free subspace immune to stray magnetic fields, dramatically improving coherence times while still enjoying the single‐site addressability Feshbach resonance control of state‐of‐the‐art atom systems. The protocol requires no continuous driving or spin‐dependent potentials, instead relies upon...

Measurement science now connects strongly with engineering of quantum coherence, many-body states, and entanglement. To scale up the performance an atomic clock using a degenerate Fermi gas loaded in three-dimensional optical lattice, we must understand complex Hamiltonians to ensure meaningful gains for metrological applications. In this work, use near unity filled Sr 3D lattice study effect tunable Fermi-Hubbard Hamiltonian. The laser introduces spin-orbit coupling spiral phase breaks...

Bosonic two-mode squeezed states are paradigmatic entangled Gaussian that have wide utility in quantum information and metrology. Here, we show the basic structure of these can be generalized to arbitrary bipartite systems a manner allows simultaneous, Heisenberg-limited estimation two independent parameters for finite-dimensional systems. Further, general always stabilized by relatively simple Markovian dissipative process. In specific case where subsystems ensembles two-level atoms or...

We present a biased atomic qubit, universally implementable across all platforms, encoded as `spin-cat' within ground state Zeeman levels. The key characteristic of our configuration is the coupling spin manifold size $F_g \gg 1$ to an excited $F_e = F_g - using light. This results in eigenstates driven atom that include exactly two dark states manifold, which are decoupled from light and immune spontaneous emission states. These constitute `spin-cat', leading designation `dark spin-cat'....

We consider the nonequilibrium orbital dynamics of spin-polarized ultracold fermions in first excited band an optical lattice. A specific lattice depth and filling configuration is designed to allow p_{x} p_{y} degrees freedom act as a pseudospin. Starting from full Hamiltonian for p-wave interactions periodic potential, we derive extended Hubbard-type model that describes anisotropic orbitals at low energy. then show how dispersion engineering can provide viable route realizing collective...

We theoretically study the dynamics of $n$-level spin-orbit coupled alkaline-earth fermionic atoms with SU($n$) symmetric interactions. consider three dimensional lattices tunneling along one dimension, and internal levels treated as a synthetic realizing an $n$-leg flux ladder. Laser driving is used to couple induce effective magnetic through focus on dense strongly interacting regime, where in absence system behaves Mott insulator suppressed motional dynamics. At integer fractional ratios...

We propose a protocol for generating generalized Greenberger-Horne-Zeilinger (GHZ) states using ultracold fermions in 3D optical lattices or tweezer arrays. The uses the interplay between laser driving, on site interactions and external trapping confinement to enforce energetic spin- position-dependent constraints atomic motion. These allow us transform local superposition into GHZ state through stepwise that flips one at time. requires no site-resolved drives spin-dependent potentials,...

We describe a theoretical scheme for generating scalable spin squeezing with nearest-neighbour interactions between spin-1/2 particles in 3D lattice, which are naturally present state-of-the-art optical lattice clocks. propose to use strong isotropic Heisenberg within individual planes of the forcing constituent spin-1/2s behave as large collective spins. These spins then coupled XXZ anisotropic along third direction lattice. This system can be realized via superexchange subject an external...