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...

We discuss the thermodynamics of closed quantum systems driven out equilibrium by a change in control parameter and undergoing unitary process. compare work actually done on system with one that would be performed along ideal adiabatic isothermal transformations. The comparison latter leads to introduction irreversible work, while former inner friction. show these two quantities can treated equal footing, as both linked heat exchanged thermalization processes expressed relative entropies....

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,...

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...

We characterize the impact that application of two maps in a quantum-controlled order has on process work extraction via unitary cycles and its optimization. The control is based quantum switch model applies an not necessarily compatible with underlying causal structure and, principle, can be implemented experimentally. First, we show activation through always entails non-negative gain ergotropy compared to their consecutive application. also establish condition should fulfill achieve...

We discuss the emergence of spontaneous synchronization for an open spin-pair system interacting only via a common environment. Under suitable conditions, and even in presence detuning between natural precession frequencies two spins, they are shown to reach long-lasting transient behavior where oscillate phase. explore connection such establishment robust quantum correlations analyzing differences dissipative dephasing effects.

Work extraction in quantum finite systems is an important issue thermodynamics. The optimal work extracted called ergotropy, and it achieved by maximizing the average over all unitary cycles. However, agent that non-neutral to risk affected fluctuations should extract following expected utility hypothesis. Thus, we investigate performed a function We mainly focus on initial states are incoherent with respect energy basis, achieving probability distribution of work. In this case show how will...

Understanding the role of classical and quantum correlations in work extraction is a problem fundamental importance thermodynamics. We approach this by considering that, closed systems, maximum cyclic extractable equal to ergotropy. Thus, we aim identify investigate contributions ergotropy coming from different kinds initial (total, classical, discord entanglement correlations). By doing so, have introduced studied quantifiers which are based on In particular, our results suggest that only...

The work is a concept of fundamental importance in thermodynamics. An open question how to describe the fluctuation for quantum coherent processes presence initial coherence energy basis. With aim giving unified description, here we introduce and study class quasiprobability distributions work, which give an average equal change system reduce two-projective-measurement scheme incoherent state. Moreover, characterize with help relations. In particular, by considering joint distribution...

A complete understanding of the statistics work done by quenching a parameter quantum many-body system is still lacking in presence an initial coherence energy basis. In this case, can be represented class quasiprobability distributions. Here, we try to clarify genuinely features process studying for Ising model transverse field. We consider both global and local quench focusing mainly on thermodynamic limit. find that, while there symmetric noncontextual representation with Gaussian...

Work extractable from quantum systems can be viewed as a resource to perform some tasks. Here, we try relate the work theory. To do this, consider completely passive states and free and, by identifying operations, formulate theories where maximum is monotone. In particular, study how operations act on states, showing sort of temperature plays pivotal role in these theories.

How to give a statistical description of the thermodynamics in quantum systems is an open fundamental question. Concerning work, presence initial coherence energy basis can rise quasiprobability which take negative values. Our aim identify most general work satisfying some conditions. By doing so, we introduce notion analogy Gleason's theorem. Then, use these quasiprobabilities define and finally discuss contextuality protocol.

Long-range interactions exhibit surprising features which have been less explored so far. Here, studying a one-dimensional fermionic chain with long-range hopping and pairing, we discuss some general associated to the presence of entanglement. In particular, after determining algebraic decays correlation functions, prove that quantum mutual information exists if exponent decay is not larger than one. Moreover, show time evolution triggered by quench between short-range regions, can be...

We study the role of interaction range on Hilbert-space fragmentation and many-body scar states considering a spin-1/2 Hamiltonian describing generalized Fredkin spin chain. show that both weak Hilbert space survive for almost any coupling. Moreover, when is small enough, there are sectors with definite symmetries such ratio between dimension their largest fragment decays algebraically system size. Finally we investigate effects structures out-of-equilibrium dynamics, triggered by certain...

The expected utility hypothesis is a popular concept in economics that useful for making decisions when the payoff uncertain. In this paper, we investigate implications of fluctuation theorem theory utility. particular, wonder whether entropy could serve as guideline gambling. We prove existence bound involving certainty equivalent which depends on produced. Then, examine dependence by looking at specific situations, work extraction from nonequilibrium initial state.

Fluctuations can challenge the possibility of improving work extraction from quantum correlations. This uncertainty in process be addressed resorting to expected utility hypothesis which provide an optimal method for extraction. We study a bipartite system and examine role correlations daemonic performed by certain local operations classical communication. Specifically, we demonstrate explain how, depending on so-called absolute risk aversion, non-neutral agent, influenced fluctuations,...

Fluctuation theorems are fundamental results in nonequilibrium thermodynamics. Considering the fluctuation theorem with respect to entropy production and an observable, we derive a thermodynamic uncertainty relation which also applies noncyclic time-reversal nonsymmetric protocols. Furthermore, investigate between correlation showing that tightness of bound is intimately related degree correlation.

We study the generation and propagation of local perturbations in a quantum many-body spin system. In particular, we Ising model transverse field presence defect at one edge. This system possesses rich phase diagram with different regions characterized by or two Majorana zero modes. show that their localized character (i) enables characterization transition through local-only measurement performed on edge spin, (ii) strongly affects quasiparticles emitted after sudden removal defect, so...

We investigate the influences of quantum many-body effects, such as criticality and existence factorization fields, in thermodynamic cost establishing a bonding link between two independent spin chains. provide physical interpretation behavior irreversible work spent process by linking phenomenology quantities to properties spectrum system.

We consider a Rashba spin-orbit coupled nanowire with anisotropic spin-singlet superconducting pairing and time reversal invariance. explore the evolution of topological phases this system due to geometric deformations for representative case wire bent in semielliptical shape. find that when is its phase, strong inhomogeneities profile curvature can produce pair localized eigenmodes, which be attributed nonuniform phase. The curved also allows us tune spin correlations state via induced...

We study finite-size scaling for the magnetic observables of an impurity residing at end point open quantum Ising chain with transverse field, realized by locally rescaling field a factor $\ensuremath{\mu}\ensuremath{\ne}1$. In homogeneous limit $\ensuremath{\mu}=1$, we find expected longitudinal magnetization, no specific magnetization. At variance, in classical $\ensuremath{\mu}=0$, recover finite while one basically does not scale. provide both analytic approximate expressions...

An indefinite causal order, where the causes of events are not necessarily in past events, is predicted by process matrix framework. A fundamental question how these nonseparable structures can be related to thermodynamic phenomena. Here, we approach this problem considering existence two cooperating local Maxwell's demons which try exploit presence global correlations and order optimize extraction work. Thus prove that it possible have a larger probability lower energy zero if inequalities...

We study the combined effects of disorder and range couplings on phase diagram one-dimensional topological superconductors. consider an extended version Kitaev chain where hopping pairing terms couple many sites. Deriving conditions for existence Majorana zero modes, we show that either on-site can greatly enhance phases characterized by appearance one or modes localized at edges. both a discrete continuous distribution. Moreover discuss role correlated which might further widen regions....