A new sensing framework is established, harnessing dissipative criticality of open quantum sensors and continuous measurement the emitted radiation quanta, that promises Heisenberg-limited precision scaling.

The prospect of quantum simulating lattice gauge theories opens exciting possibilities for understanding fundamental forms matter. Here, we show that trapped ions represent a promising platform in this context when simultaneously exploiting internal pseudo-spins and external phonon vibrations. We illustrate our ideas with two complementary proposals lattice-regularized electrodynamics (QED) (1+1) space-time dimensions. first scheme replaces the fields by local vibrations high occupation...

Continuous monitoring of driven-dissipative quantum optical systems is a crucial element in the implementation metrology, providing essential strategies for achieving highly precise measurements beyond classical limit. In this context, relevant figure merit Fisher information radiation field emitted by sensor. Saturation corresponding precision limit as defined Cramer-Rao bound typically not achieved conventional, temporally local continuous measurement schemes such counting or homodyning....

Abstract In an ideal quantum measurement, the wave function of a system collapses to eigenstate measured observable, and corresponding eigenvalue determines measurement outcome. If observable commutes with Hamiltonian, repeated measurements yield same result thus minimally disturb system. Seminal optics experiments have achieved such non-demolition (QND) systems few degrees freedom. contrast, here we describe how QND complex many-body Hamiltonian interacting system, can be implemented in...

We propose a state preparation protocol based on sequential measurements of central spin coupled with ensemble, and investigate the usefulness generated multi-spin states for quantum enhanced metrology. Our is shown to generate highly entangled states, devoid necessity non-linear interactions. The metrological sensitivity resulting surpasses standard limit, reaching Heisenberg limit under symmetric coupling strength conditions. also explore asymmetric strengths, identifying specific windows...

We propose and analyze a scanning microscope to monitor `live' the quantum dynamics of cold atoms in Cavity QED setup. The measures atomic density with subwavelength resolution via dispersive couplings cavity homodyne detection within framework continuous measurement theory. two modes operation. First, for fixed focal point records wave packet time set by lifetime. Second, spatial scan acts map out stationary states. Remarkably, latter case, good limit, becomes an effective non-demolition...

We are interested in dynamics of quantum many-body systems under continuous observation, and its physical realizations involving cold atoms lattices. In the present work we focus on measurement atomic currents lattice models, including Hubbard model. describe a Cavity QED setup, where homodyne current provides faithful representation as function time. employ optical description terms diffusive stochastic Schr\"odinger equation to follow time evolution system conditional observing given...

We investigate the ground-state phase diagram of a binary mixture Bose-Einstein condensates (BECs) with competing interspecies s-and p-wave interactions.Exploiting pseudopotential model for l = 1 partial wave, we derive an extended Gross-Pitaevskii (GP) equation BEC that incorporates both interactions.Based on it, study miscible-immiscible transition in presence interaction, by combining numerical solution GP and Gaussian variational analysis.Our uncovers dual effect-either enhance or reduce...

We propose and analyze a driven-dissipative quantum sensor that is continuously monitored close to dissipative critical point. The relies on the open Rabi model with spin phonon degrees of freedom single trapped ion achieve criticality-enhanced sensitivity. Effective continuous monitoring nearly unit efficiency realized via co-trapped ancilla switches between dark bright internal states conditioned `jump' population. demonstrate achieves scaling beyond standard shot noise limit under...

We present a detailed theoretical description of an atomic scanning microscope in cavity QED setup proposed Phys. Rev. Lett. 120, 133601 (2018). The continuously observes densities with optical subwavelength resolution nondestructive way. super-resolution is achieved by engineering internal dark state sharp spatial variation population ground level dispersively coupled to the field. Thus, position encoded revealed as phase shift light reflected from homodyne experiment. Our operation based...

We propose a state preparation protocol based on sequential measurements of central spin coupled with ensemble, and investigate the usefulness generated multi-spin states for quantum enhanced metrology. Our is shown to generate highly entangled states, devoid necessity non-linear interactions. The metrological sensitivity resulting surpasses standard limit, reaching Heisenberg limit under symmetric coupling strength conditions. also explore asymmetric strengths, identifying specific windows...

Continuous monitoring of driven-dissipative quantum optical systems is a crucial element in the implementation metrology, providing essential strategies for achieving highly precise measurements beyond classical limit. In this context, relevant figure merit Fisher information radiation field emitted by sensor. Saturation corresponding precision limit as defined Cramer-Rao bound typically not achieved conventional, temporally local continuous measurement schemes such counting or homodyning....

A Correction to this paper has been published: https://doi.org/10.1038/s41467-021-22105-3