It is very common in the literature to write a Markovian quantum master equation Lindblad form describe system with multiple degrees of freedom and weakly connected thermal baths which can, general, be at different temperatures chemical potentials. However, microscopically derived up leading order system-bath coupling so-called Redfield form, known not preserve complete positivity most cases. Additional approximations are required obtain form. We lay down some fundamental requirements for...

Bath engineering, which utilizes coupling to lossy modes in a quantum system generate nontrivial steady states, is tantalizing alternative gate- and measurement-based science. Here, we demonstrate dissipative stabilization of entanglement between two superconducting transmon qubits symmetry-selective manner. We utilize the engineered symmetries environment stabilize target Bell state; further suppression state opposite symmetry due parity selection rules. This implementation resource...

We present the Born-Markov approximated Redfield quantum master equation (RQME) description for an open system of noninteracting particles (bosons or fermions) on arbitrary lattice $N$ sites in any dimension and weakly connected to multiple reservoirs at different temperatures chemical potentials. The RQME can be reduced Lindblad equation, various forms, by making further approximations. By studying $N=2$ case, we show that gives results which agree with exact analytical steady-state...

We describe nonlinear phonon-thermoelectric devices where charge current and electronic phononic heat currents are coupled, driven by voltage temperature biases, when phonon-assisted inelastic processes dominate the transport. Our thermoelectric transistors rectifiers can be realized in a gate-tunable double quantum-dot system embedded nanowire which is realizable within technology. The electron-phonon scattering found to induce pronounced charge, heat, cross rectification effects, as well...

We study collisions between two strongly interacting atomic Fermi gas clouds. observe exotic nonlinear hydrodynamic behavior, distinguished by the formation of a very sharp and stable density peak as clouds collide subsequent evolution into box-like shape. model dynamics these using quasi-1D equations. Our simulations time-dependent profiles agree well with data provide clear evidence shock wave in this universal quantum system.

Recent studies report on anomalous spin transport for the integrable Heisenberg chain at its isotropic point. Anomalous scaling is also observed in time-evolution of non-equilibrium initial conditions, decay current-current correlations, and steady state averages. These indicate a space-time with $x \sim t^{2/3}$ behavior point, sharp contrast to ballistic form t$ generically expected systems. In our contribution we study lattice Landau-Lifshitz chain. We equilibrium spatio-temporal...

We study the high temperature transport behavior of Aubry-Andr\'e-Harper (AAH) model, both in isolated thermodynamic limit and open system. At critical point AAH we find hints super-diffusive from scaling spread an initially localized wavepacket. On other hand, when connected to two baths with different chemical potentials at ends, that shows clear sub-diffusive current system size. provide explanation this by showing system-size is entirely governed single particle eigenfunctions boundary...

Non-Hermitian systems have gained a lot of interest in recent years. However, notions chaos and localization such not reached the same level maturity as Hermitian systems. Here, we consider non-Hermitian interacting disordered Hamiltonians attempt to analyze their chaotic behavior or lack it through lens recently introduced analog spectral form factor complex spacing ratio. We three widely relevant models which are unique ways serve excellent platforms for investigations. Two considered...

Recent investigations have observed superdiffusion in integrable classical and quantum spin chains. An intriguing connection between these chains Kardar-Parisi-Zhang (KPZ) universality class has emerged. Theoretical developments (e.g. generalized hydrodynamics) highlighted the role of integrability as well spin-symmetry KPZ behaviour. However understanding their precise on superdiffusive transport still remains a challenging task. The widely used chain platform comes with severe numerical...

We investigate the possibility of a Markovian quantum master equation (QME) that consistently describes finite-dimensional system, part which is weakly coupled to thermal bath. To preserve complete positivity and trace, such QME must be Lindblad form. For physical consistency, it should additionally local conservation laws able show thermalization. search for equations satisfying these additional criteria. First, we microscopically derived Bloch-Redfield violates unless in extremely special...

The authors investigate whether nonequilibrium environments can promote localization rather than destabilize it. By studying the impact of quantum jumps on transition in driven-dissipative systems, reveal pathways to enhance localized regimes using simple yet realistic postselection schemes.

We consider a one-dimensional fermionic lattice system with long-ranged power-law decaying hopping exponent $\ensuremath{\alpha}$. The is further subjected to dephasing noise in the bulk. investigate two variants of problem: (i) an open quantum where setup boundary reservoirs enabling scenario nonequilibrium steady-state charge transport, and (ii) time dynamics initially localized single-particle excitation absence reservoirs. In both variants, anomalous superdiffusive behavior observed for...

We study the finite-temperature dynamical structure factor $S(k,\ensuremath{\omega})$ of a one-dimensional Bose gas using numerical simulations Gross-Pitaevskii equation appropriate to weakly interacting system. The line shape phonon peaks in has width $\ensuremath{\propto}$${|k|}^{3/2}$ at low wave vectors. This anomalous arises from resonant three-phonon interactions, and reveals remarkable connection Kardar-Parisi-Zhang universality class critical phenomena.

We propose a scheme for driving dimer of spatially separated qubits into maximally entangled nonequilibrium steady state. A photon-mediated retarded interaction between the is realized by coupling them to two tunnel-coupled leaky cavities where each cavity driven coherent microwave tone. The proposed cooling mechanism relies on striking right balance unitary and driven-dissipative dynamics qubit subsystem. map an effective transverse-field isotropic $XY$ model coupled bath that can be...

We present a theoretical and experimental study of photonic electronic transport properties voltage biased InAs semiconductor double quantum dot (DQD) that is dipole-coupled to superconducting transmission line resonator. obtain the Master equation for reduced density matrix coupled system cavity photons DQD electrons accounting systematically both presence phonons effect leads at finite bias. subsequently derive analytical expressions transmission, phase response, photon number...

We show that several aspects of the low-temperature hydrodynamics a discrete Gross-Pitaevskii equation (GPE) can be understood by mapping it to nonlinear version fluctuating hydrodynamics. This is achieved first writing GPE in hydrodynamic form continuity and Euler equation. Respecting conservation laws, dissipation noise due system's chaos are added, thus giving us stochastic field theory general Kardar-Parisi-Zhang (KPZ) our particular case. KPZ benchmarked against exact Hamiltonian...

We investigate and map out the nonequilibrium phase diagram of a generalization well known Aubry-Andr\'e-Harper (AAH) model. This generalized AAH (GAAH) model is to have single-particle mobility edge which also has an additional self-dual property akin that critical point By calculating population imbalance, we get hints rich diagram. find fascinating connection between single particle wave functions near GAAH placing this far from equilibrium with aid two baths, open system transport via...

Recent breakthroughs in quantum-dot circuit-quantum-electrodynamics (circuit-QED) systems are important both from a fundamental perspective and the point of view quantum photonic devices. However, understanding applications such setups as potential thermoelectric diodes transistors has been missing. In this paper, via Keldysh nonequilibrium Green's function approach, we show that cavity-coupled double quantum-dots can serve excellent transistors. Using an enhanced perturbation approach based...

We explore the connections between dissipative quantum phase transitions and non-Hermitian random matrix theory. For this, we work in framework of Dicke model which is archetypal symmetry-breaking open systems. establish that Liouvillian describing dynamics exhibits distinct spectral features integrable chaotic character on two sides critical point. follow distribution spacings complex eigenvalues across In normal superradiant phases, distributions are two-dimensional Poisson Ginibre unitary...

Abstract We study the distribution of position rightmost particle x max in a N -particle Riesz gas one dimension confined harmonic trap. The particles interact via long-range repulsive potential, form r − k with −2 &lt; ∞ where is inter-particle distance. In equilibrium at temperature O (1), settles on finite length scale L that depends and . numerically observe typical fluctuation y = / around its mean <?CDATA $O({N}^{-{\eta }_{k}})$?> <mml:math...

We consider time dynamics of entanglement entropy between a filled fermionic system and an empty reservoir. scenarios (i) where the is subjected to dephasing mechanism reservoir clean, thereby emulating expansion effectively interacting fermions in vacuum, (ii) both are enabling us address how part its complement evolves time. two different kinds quantum trajectory approaches, namely stochastic unitary unraveling state diffusion. For protocols, we observe characterize full Page curve-like...

Abstract We study the nonequilibrium stationary state (NESS) induced by quantum resetting of a system $N$ noninteracting bosons in harmonic trap. Our protocol consists preparing initially ground oscillator centered at $+a$, followed rapid quench where center is shifted to $-a$ and allowed evolve unitarily up random Poissonian time $\tau$ distributed via $r\, e^{-r \tau}$. Then trap reset $+a$ again assumed cool instantaneously initial state. The time, procedure repeated. Under repeated...

Abstract We study a class of random matrices arising from the Lax matrix structure classical integrable systems, particularly Calogero family models. Our focus is density eigenvalues for these matrices. The problem can be mapped to analyzing generalized versions conventional ensembles, including modified form log-gas. mapping comes underlying Such deep connection confirmed by extensive Monte-Carlo simulations. Thereby we move forward not only in terms understanding such many-body systems but...