This topical review article gives an overview of the interplay between quantum information theory and thermodynamics systems. We focus on several trending topics including foundations statistical mechanics, resource theories, entanglement in thermodynamic settings, fluctuation theorems thermal machines. is not a comprehensive diverse field thermodynamics; rather, it convenient entry point for thermo-curious theorist. Furthermore this should facilitate unification understanding different...

Can collective quantum effects make a difference in meaningful thermodynamic operation? Focusing on energy storage and batteries, we demonstrate that mechanics can lead to an enhancement the amount of work deposited per unit time, i.e., charging power, when N batteries are charged collectively. We first derive analytic upper bounds for advantage power two choices constraints Hamiltonian. then even absence entanglement this be extensive. For our main result, provide bound achievable...

Research on the out-of-equilibrium dynamics of quantum systems has so far produced important statements thermodynamics small undergoing mechanical evolutions. Key examples are provided by Crooks and Jarzynski relations: taking into account fluctuations in non-equilibrium dynamics, such relations connect equilibrium properties thermodynamical relevance with explicit features. Although experimental verification fundamental classical domain encountered some success, their version requires...

We study the problem of charging a quantum battery in finite time. demonstrate an analytical optimal protocol for case single qubit. Extending this analysis to array N qubits, we that N-fold advantage power per qubit can be achieved when global operations are permitted. The exemplary analytic argument is backed up by numerical using control techniques. It demonstrated holds when, with cyclic operation mind, initial and final states required separable.

We propose an experimental scheme to verify the quantum non-equilibrium fluctuation relations using current technology. Specifically, we show that characteristic function of work distribution for a quench general system can be extracted from Ramsey interferometry single probe qubit. Our paves way full characterisation processes in variety complex systems ranging particles many-body atomic and spin chains. demonstrate our idea time-dependent motional state trapped ion, where internal...

Abstract The practical untenability of the quasi-static assumption makes any realistic engine intrinsically irreversible and its operating time finite, thus implying friction effects at short cycle times. An important technological goal is design maximally efficient engines working maximum possible power. We show that, by utilising shortcuts to adiabaticity in a quantum cycle, one can engineer thermodynamic finite power zero friction. Our findings are illustrated using harmonic oscillator...

We realize a heat engine using single electron spin as working medium. The pertains to the valence of trapped $^{40}$Ca$^+$ ion, and reservoirs are emulated by controlling polarization via optical pumping. is coupled ion's harmonic-oscillator degree freedom spin-dependent forces. oscillator stores work produced therefore acts flywheel. characterize state flywheel reconstructing Husimi $\mathcal{Q}$ function after different runtimes. This allows us infer both deposited energy corresponding...

Thermodynamic uncertainty relations (TURs) place strict bounds on the fluctuations of thermodynamic quantities in terms associated entropy production. In this Letter, we identify tightest (and saturable) matrix-valued TUR that can be derived from exchange fluctuation theorems describing statistics heat and particle flow between multiple systems arbitrary dimensions. Our result holds for both quantum classical systems, undergoing general finite-time nonstationary processes. Moreover, it...

We study the statistics of work done, fluctuation relations and irreversible entropy production in a quantum many-body system subject to sudden quench control parameter. By treating as thermodynamic transformation we show that emergence irreversibility nonequilibrium dynamics closed systems can be accurately characterized. demonstrate our ideas by considering transverse Ising model is taken out equilibrium instantaneous switching field.

Constraints on work extraction are fundamental to our operational understanding of the thermodynamics both classical and quantum systems. In setting, finite-time control operations typically generate coherence in instantaneous energy eigenbasis dynamical system. Thermodynamic cycles can, principle, be designed extract from this nonequilibrium resource. Here, we isolate study coherent component yield such protocols. Specifically, identify a contribution ergotropy (the maximum amount unitarily...

Abstract We investigate how the presence of quantum correlations can influence work extraction in closed systems, establishing a new link between field non-equilibrium thermodynamics and one information theory. consider bipartite system we show that it is possible to optimize process extraction, thanks two parts system, by using an appropriate feedback protocol based on concept ergotropy. prove maximum gain extracted related existence parts, quantified either discord or, for pure states,...

Landauer’s principle sets fundamental thermodynamical constraints for classical and quantum information processing, thus affecting not only various branches of physics, but also computer science engineering. Despite its importance, this was recently experimentally considered systems. Here we employ a nuclear magnetic resonance set-up to address the energy conversion in system. Specifically, consider three spins <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">...

Exploiting the relative entropy of coherence, we isolate coherent contribution in energetics a driven non-equilibrium quantum system. We prove that division irreversible work can be made into and incoherent part, which provides an operational criterion for quantifying generic transformation on closed then study such two physical models qubit kicked rotor. In addition, also show coherence generation is connected to non-adiabaticity processes, it gives dominant slow-enough transformation. The...

Using the operational framework of completely positive, trace preserving operations and thermodynamic fluctuation relations, we derive a lower bound for heat exchange in Landauer erasure process on quantum system. Our comes from nonphenomenological derivation principle which holds generic nonequilibrium dynamics. Furthermore, depends nonunitality dynamics, giving it physical significance that differs other derivations. We apply our to model spin-$1/2$ system coupled an interacting spin chain...

A simple relationship between recently proposed measures of non-Markovianity and the Loschmidt echo is established, holding for a two-level system (qubit) undergoing pure dephasing due to coupling with many-body environment. We show that intimately related information flowing out from occasionally back into system. This, in turn, determines reduced dynamics. In particular, we consider central qubit coupled quantum Ising ring transverse field. this context, flux environment strongly affected...

Eigenstate thermalization is widely accepted as the mechanism behind in generic isolated quantum systems. Using example of a single magnetic defect embedded integrable spin-1/2 $XXZ$ chain, we show that locally perturbing an system can give rise to eigenstate thermalization. Unique such setups fact thermodynamic and transport properties unperturbed chain emerge eigenstates perturbed (nonintegrable) one. Specifically, diagonal matrix elements observables follow microcanonical predictions for...

The precise measurement of low temperatures is a challenging, important, and fundamental task for quantum science. In particular, in situ thermometry highly desirable cold atomic systems due to their potential simulation. Here, we demonstrate that the temperature noninteracting Fermi gas can be accurately inferred from nonequilibrium dynamics impurities immersed within it, using an interferometric protocol established experimental methods. Adopting tools theory parameter estimation, show our...

Accurately describing work extraction from a quantum system is central objective for the extension of thermodynamics to individual systems. The concepts and heat are surprisingly subtle when generalizations made arbitrary states. We formulate an operational suitable application open undergoing evolution under general process by which we mean completely positive trace-preserving map. derive first law such processes show consistency with second law. that heat, law, input state map majorizes...

Scrambling of quantum information can conveniently be quantified by so-called out-of-time-order correlators (OTOCs), i.e., the type $\ensuremath{\langle}{[{W}_{\ensuremath{\tau}},V]}^{\ifmmode\dagger\else\textdagger\fi{}}[{W}_{\ensuremath{\tau}},V]\ensuremath{\rangle}$, whose measurements present a formidable experimental challenge. Here we report on method for measurement OTOCs based two-point scheme developed in field nonequilibrium thermodynamics. The is broader applicability than methods...

Understanding how hydrodynamic behaviour emerges from the unitary evolution of many-particle Schr\"odinger equation is a central goal non-equilibrium statistical mechanics. In this work we implement digital simulation discrete time quantum dynamics spin-$\frac{1}{2}$ XXZ spin chain on noisy near-term device, and extract high temperature transport exponent at isotropic point. We simulate temporal decay relevant correlation function using pseudo-random state generated by random circuit that...

Although entanglement is a key resource for quantum-enhanced metrology, not all useful. For example in the process of many-body thermalisation, bipartite grows rapidly, naturally saturating to volume law. This type generation ubiquitous nature but has no known application most quantum technologies. The generation, stabilisation and exploitation genuine multipartite entanglement, on other hand, far more elusive yet highly desirable metrological applications. Recently it been shown that scars...

We investigate the quantum Mpemba effect from perspective of nonequilibrium thermodynamics by studying relaxation dynamics systems coupled to a Markovian heat bath, which are described Davies maps. Starting state with coherences in energy eigenbasis, we demonstrate that an exponential speedup equilibrium will always occur if is transformed diagonal provided spectral gap generator defined complex eigenvalue. When has higher free energy, argue using thermodynamic reasoning this genuine effect....

Dual-unitary circuits are a class of quantum systems for which exact calculations various quantities possible, even that nonintegrable. The array known results paints compelling picture dual-unitary as rapidly thermalizing systems. However, in this Letter, we present method to construct some simple initial states fail thermalize, despite the being ``maximally chaotic,'' ergodic, and mixing. This is achieved by embedding many-body scars circuit arbitrary size local Hilbert space dimension. We...

Recent advancements have revealed new links between information geometry and classical stochastic thermodynamics, particularly through the Fisher (FI) with respect to time. Recognizing nonuniqueness of quantum metric in Hilbert space, we exploit fact that any (QFI) can be decomposed into a metric-independent incoherent part metric-dependent coherent contribution. We demonstrate component QFI directly linked entropic acceleration, for GKSL dynamics local detailed balance, rate change...

We investigate the behaviour of a single qubit coupled to low-dimensional, ultra-cold Fermi gas. The scattering between system and fermions leads loss any coherence in initial state we show that exact dynamics this process is strongly influenced by effect orthogonality catastrophe within highlight relationship Loschmidt echo retarded Green's function - typically used formulate dynamical theory demonstrate can be triggered characterized via local operations on qubit. how expected broadening...