Abstract Many‐body open quantum systems (OQSs) have a profound impact on various subdisciplines of physics, chemistry, and biology. Thus, the development computer program capable accurately, efficiently, versatilely simulating many‐body OQSs is highly desirable. In recent years, we focused advancement numerical algorithms based fermionic hierarchical equations motion (HEOM) theory. Being in‐principle exact, this approach allows for precise characterization correlations, non‐Markovian memory,...

The Peltier effect, which is the reverse counterpart of Seebeck has been experimentally observed in nanojunctions. Despite its potential applications cooling nanoelectronic devices, achieving significant figures merit and power remain challenging. Here, we propose a novel approach to enable substantial by leveraging orbital-Kondo states formed through strong electron correlations. We demonstrate this showcasing heat current reduced local temperature serially connected two-impurity junction,...

Surface magnetic molecular systems have attracted increasing attention because of their potential applications in spintronic devices. Recent experiments shown that bis(phthalocyaninato)terbium(III) molecules adsorbed on a bare Cu substrate exhibit Kondo state, whereas introducing an insulating NaCl layer the surface significantly suppresses this spin response around zero bias voltage. The microscopic mechanism underlying transition remains unclear. To address issue, we employed combined...

Recent technological advancement in scanning tunneling microscopes has enabled the measurement of spin-field and spin-spin interactions single atomic or molecular junctions with an unprecedentedly high resolution. Theoretically, although fermionic hierarchical equations motion (HEOM) method been widely applied to investigate strongly correlated Kondo states these junctions, existence low-energy spin excitations presents new challenges numerical simulations. These include quest for a more...

The fermionic hierarchical equations of motion (HEOM) approach has found wide application in the exploration open quantum systems, and extensive efforts have been committed to improving its efficiency accuracy practical calculations. In this work, by scrutinizing stationary-state dynamic properties Kondo-correlated impurity we show that strength Kondo correlation induced system-environment entanglement primarily determines converged truncation tier HEOM method. This complements rule thumb...

The hierarchical equation of motion method has become one the most popular numerical methods for describing dissipative dynamics open quantum systems linearly coupled to environment. However, its applications with strong electron correlation are largely restrained by computational cost, which is mainly caused high truncation tier L required accurately characterize effect. In this work, we develop an adiabatic terminator decoupling principal dissipation mode fastest rate from slower ones....

Many-body open quantum systems (OQS) have a profound impact on various subdisciplines of physics, chemistry, and biology. Thus, the development computer program capable accurately, efficiently, versatilely simulating many-body OQS is highly desirable. In recent years, we focused advancement numerical algorithms based fermionic hierarchical equations motion (HEOM) theory. Being in-principle exact, this approach allows for precise characterization correlations, non-Markovian memory,...

Measuring local temperatures of open systems out equilibrium is emerging as a novel approach to study the thermodynamic properties nanosystems. An operational protocol has been proposed determine temperature by coupling probe system and then minimizing perturbation certain observable probed system. In this paper, we first show that such unique for single quantum impurity given observable. We extend consisting multiple impurities proposing minimal condition (LMPC). The influence resonances on...

Magnetic molecules adsorbed on two-dimensional (2D) substrates have attracted broad attention because of their potential applications in quantum device applications. Experimental observations demonstrated substantial alteration the spin excitation energy iron phthalocyanine (FePc) when nitrogen-doped graphene substrates. However, underlying mechanism responsible for this notable change remains unclear. To shed light this, we employ an embedding method and ab initio chemistry calculations to...

Simulating the dynamics of open quantum systems coupled to non-Markovian environments remains an outstanding challenge due exponentially scaling computational costs. We present artificial intelligence strategy overcome this obstacle by integrating neural states approach into dissipaton-embedded master equation in second quantization (DQME-SQ). Our utilizes restricted Boltzmann machines (RBMs) compactly represent reduced density tensor, explicitly encoding combined effects system-environment...

To solve the problem of multiple Unmanned Aerial Vehicles (UAVs) with intermittent communication topologies simultaneously attack a stationary target, time cooperative guidance law is studied in this paper. First, novel model for UAVs constructed based on UAVs-target relative motion equations. Then, designed consensus theory, which can ensure UAVs' impact times realize finite under topologies. After become to be same, traditional PN applied all guarantee that target precisely without...