We investigate electron transport through a double dot Aharonov-Bohm interferometer coupled to heat bath, which provides not only dephasing source but also non-Markovian memory effects. The distribution of waiting times between subsequent transfers is utilized analyze the unique dynamics, especially at short times. show how coherent oscillations in weak system-bath coupling regime are washed out strong limit, due during propagation electrons interferometer. Intriguingly, we find for an...

The pursuit of quantum-enhanced parameter estimations without the need for nonclassical initial states has long been driven by goal achieving experimentally accessible quantum metrology. In this work, employing a coherent averaging mechanism, we prove that prototypical cavity electrodynamics (QED) system, such as Tavis–Cummings model, enables us to achieve not only Heisenberg scaling (HS) precision in terms average photon number but also double-HS sensitivity concerning both and atom...

We investigate the relationship between confluent Heun functions and eigenvalue spectra of infinite matrices related to semi-classical quantum Rabi models, revealing distinct connections in each case. In model, eigenvalues are explicitly expressed through functions, whereas they determined by zeros a condition involving functions. Our findings establish unified framework for solving problem infinite-dimensional unbounded models. derive some new identities enabling simplifications broader...

Quantum spin squeezing is an important resource for quantum information processing, but its degree not easy to preserve in open system with decoherence. Here, we propose a scheme implement single-photon-triggered decoherence reduction system. In our system, Dicke model (DM) added quadratic optomechanical coupling considered, which can be equivalent effective DM manipulated by the photon number. Besides, phonon mode of coupled squeezed-vacuum reservoir phase matching, resulting that thermal...

Quantum metrology is recognized for its capability to offer high-precision estimation by utilizing quantum resources, such as entanglement. Here, we propose a generalized Tavis-Cummings model introducing the $XY$ spin interaction explore impact of many-body effect on precision, quantified Fisher information (QFI). By deriving effective description our model, establish closed relationship between QFI and fluctuation induced interaction. Based this exact relation, emphasize indispensable role...

The Lee-Yang zeros are one-to-one mapped to in the coherence of a probe spin coupled many-body system. Here, we propose two different types dephasing channels, where partition functions vanish at zeros, and study squeezing under them. Under first type channels probes their own bath, find that performance is improved its maximum only depends on initial state. Moreover, centers all concurrence vanishing domains corresponding zeros. second channel one bath together, not improved, however,...

We investigate quantum sensing of rotation with a multiatom Sagnac interferometer and present multipartite entangled states to enhance the sensitivity frequency. For studying sensitivity, we first Hermitian generator respect The generator, which contains phase, is linear superposition $z$ component collective spin quadrature operator bosons depicting trapping modes, enables us conveniently study Fisher information (QFI) for any initial states. With derive general QFI can be square dependence...

To achieve the optimal phase sensitivity in two-mode interferometers, one key problem is how to distribute photons between two input ports, given a fixed total average photon number. In both $\text{SU}(2)$ and $\text{SU}(1,1)$ interferometers with product of coherent Fock states as inputs, we find there exists critical value number, below which can be achieved second port being vacuum state. The points analytically fixed. We further consider more general state squeezed states. Then identify...

The pursuit of quantum-enhanced parameter estimations without the need for nonclassical initial states has long been driven by goal achieving experimentally accessible quantum metrology. In this paper, employing a coherent averaging mechanism, we prove that prototypical cavity-quantum electrodynamics (QED) system, such as Tavis-Cummings (TC) model, enables us to achieve not only Heisenberg scaling (HS) precision in terms average photon number but also double-HS sensitivity concerning both...

We conduct an investigation on the dynamical quantum phase transition within atom-molecule Bose–Einstein condensate. explore dynamics of conversion and utilize fraction population atom as order parameter for probing transitions. It is shown that quench presents a non-analytical change regarding binding energy, it demonstrated this can detect both at ground state highest energy level. Furthermore, we analyze Loschmidt echo present its connection with

The distribution of Lee-Yang zeros not only matters in thermodynamics and quantum mechanics, but also mathematics. Hereby we propose a nonlinear toy model discuss the corresponding zeros. Utilizing coupling between probe qubit system, all can be detected dynamics by tuning strength linear coefficient system. Moreover, analytical expression Fisher information matrix at is provided an interesting phenomenon discovered. Both temperature simultaneously attain their precision limits However,...

The strong and collective atom–light interactions in cavity-QED systems perform manifold benefits quantum-enhanced measurements. Here, we study the time-reversal protocol that has been proposed to sense small displacements of light field, report sensitivity scheme could be speeded up attain Heisenberg limit (HL). We show holonomic unitary parametrization process one only need choose appropriate initial states pursue ultimate sensitivity. may pave an experimentally feasible way achieve...

By describing the evolution of a quantum state with trajectories Majorana stars on Bloch sphere, Majorana's stellar representation provides an intuitive geometric perspective to comprehend system high-dimensional Hilbert space. However, problem two-spin coupling sphere has not been solved satisfactorily yet. Here, we present practical method resolve for mixed-spin $(s, 1/2)$ system. The can be decomposed into two spins: spin-$(s+1/2)$ and spin-$(s-1/2)$ at bases, which regarded as...

BACKGROUND: Esophageal reconstruction is the key issue in esophageal surgery. However, currently there no satisfied technique to repair esophagus after OBJECTIVE: To combine an inner chitosan stent and a muscle tissue with vascular pedicl

The distribution of Lee-Yang zeros not only matters in thermodynamics and quantum mechanics, but also mathematics. Hereby we propose a nonlinear toy model discuss the corresponding zeros. Utilizing coupling between probe qubit system, all can be detected dynamics by tuning strength linear coefficient system. Moreover, analytical expression Fisher information matrix at is provided, an interesting phenomenon discovered. Both temperature simultaneously attain their precision limits However,...

Quantum metrology is recognized for its capability to offer high-precision estimation by utilizing quantum resources, such as entanglement. Here, we propose a generalized Tavis-Cummings model introducing the $XY$ spin interaction explore impact of many-body effect on precision, quantified Fisher information (QFI). By deriving effective description our model, establish closed relationship between QFI and fluctuation induced interaction. Based this exact relation, emphasize indispensable role...

By describing the evolution of a quantum state with trajectories Majorana stars on Bloch sphere, Majorana's stellar representation provides an intuitive geometric perspective to comprehend system high-dimensional Hilbert space. However, problem two-spin coupling sphere has not been solved satisfactorily yet. Here, we present practical method resolve for mixed-spin $(s, 1/2)$ system. The can be decomposed into two spins: spin-$(s+1/2)$ and spin-$(s-1/2)$ at bases, which regarded as...

The strong and collective atom-light interactions in cavity-QED systems perform manifold benefits quantum-enhanced measurements. Here, we study the time-reversal protocol that has been proposed to sense small displacements of light field, report sensitivity scheme could be speeded up attain Heisenberg limit (HL).We show holonomic unitary parametrization process one only need choose appropriate initial states pursue ultimate sensitivity. may pave an experimentally feasible way achieve...