Geometric quantum discord is a well-defined measure of correlation if Schatten 1-norm (trace norm) adopted as distance measure. Here, we analytically investigate the dynamical behavior geometric under effect decoherence. By starting from arbitrary Bell-diagonal mixed states Markovian local noise, provide decays function decoherence parameters. In particular, show that exhibits possibility double sudden changes and freezing during its evolution. For non-trivial simple channels, these are new...

A fully operational loss-free quantum battery requires an inherent control over the energy transfer process, with ability of keeping retained no leakage. Moreover, it also a stable discharge mechanism, which entails that revivals occur as device starts its distribution. Here we provide scalable solution for both requirements. To this aim, propose general design based on current (EC) observable quantifying rate to consumption hub. More specifically, introduce instantaneous EC operator...

Correlations in quantum systems exhibit a rich phenomenology under the effect of various sources noise. We investigate theoretically and experimentally dynamics correlations their classical counterparts two nuclear magnetic resonance setups, as measured by geometric quantifiers based on trace norm. consider two-qubit prepared Bell diagonal states, perform experiments real decohering environments resulting from Markovian local noise which preserves form states. then report first observation...

We investigate the effect of localization on local charging quantum batteries (QBs) modeled by disordered spin systems. Two distinct schemes based transverse-field random Ising model are considered, with couplings defined a Chimera graph and linear chain up to next-to-nearest-neighbor interactions. By adopting low-energy demanding process driven fields only, we obtain that maximum extractable energy unitary processes (ergotropy) is highly enhanced in ergodic phase comparison many-body (MBL)...

We investigate the scaling of Tsallis entropy in disordered quantum spin-S chains. show that an extensive occurs for specific values entropic index. Those depend only on magnitude S spins, being directly related with effective central charge associated model.

The nature of quantum correlations in strongly correlated systems has been a subject intense research. In particular, it realized that entanglement and discord are present at phase transitions able to characterize it. Surprisingly, shown for number different qubit pairwise states, even when highly entangled, do not violate Bell's inequalities, being this sense local. Here we show such local character is fact general translation invariant its origins the monogamy trade-off obeyed by...

We introduce the concepts of geometric classical and total correlations through Schatten 1-norm (trace norm), which is only p-norm able to ensure a well-defined measure correlations. In particular, we derive analytical expressions for case two-qubit Bell-diagonal states, discussing superadditivity As an illustration, compare our results with entropic correlations, both their hierarchy monotonicity properties. Moreover, apply investigate ground state spin chains in thermodynamic limit....

We investigate a witness for nonclassical multipartite states based on their disturbance under local measurements. The operator provides sufficient condition nonclassicality that coincides with nonvanishing global quantum discord, but it does not demand an extremization procedure. Moreover, the case of Z_2-symmetric systems, we rewrite in terms correlation functions so classicality is found to necessarily require either vanishing magnetization invariant axis or isotropy two-point function...

We investigate the local quantum uncertainty (LQU) between a block of L qubits and one single qubit in composite system n driven through phase transition (QPT). A first-order QPT is analytically considered Hamiltonian implementation search. In case second-order QPTs, we consider transverse-field Ising chain via numerical analysis density matrix renormalization group. For both cases, compute LQU for finite-sizes as function coupling parameter, analyzing its pronounced behavior at QPT.

We discuss entanglement in the spin-1∕2 anisotropic ferromagnetic Heisenberg chain presence of a boundary magnetic field generating domain walls. By increasing field, model undergoes first-order quantum phase transition from to kink-type phase, which is associated jump content available system. Above critical point, pairwise shown be nonvanishing and independent for large chains. Based on this result, we provide an analytical expression between arbitrary spins. Moreover, effects domains...

We present a new perturbative real space renormalization group (RG) to study random quantum spin chains and other one-dimensional disordered systems. The method overcomes problems of the original approach which fails for with spins larger than S=1/2. Since it works even weak disorder, we are able obtain zero temperature phase diagram antiferromagnetic Heisenberg spin-1 chain as function disorder. find singlet strong As disorder decreases, system shows crossover from Griffiths Haldane phase.

We discuss the scaling of entanglement entropy in random singlet phase (RSP) disordered quantum magnetic chains general spin $S$. Through an analysis structure RSP, we show that scales logarithmically with size a block, and provide closed expression for this scaling. This result is applicable arbitrary being dependent only on magnitude $S$ spin. Remarkably, logarithmic holds chain even if pure no disorder does not exhibit conformal invariance, as case Heisenberg integer-spin chains. Our...

We investigate the excitation dynamics at a first-order quantum phase transition (QPT). More specifically, we consider quench-induced QPT in search algorithm, which aims finding out marked element an unstructured list. begin by deriving exact of model, is shown to obey Riccati differential equation. Then, discuss probabilities success adopting either global or local adiabaticity strategies. Moreover, determine disturbance criticality as function system size. In particular, show that critical...

We identify ambiguities in the available frameworks for defining quantum, classical, and total correlations as measured by discordlike quantifiers. More specifically, we determine situations which either classical or quantum are not uniquely defined due to degeneracies arising from optimization procedure over state space. In order remove such degeneracies, introduce a general approach where independently defined, escaping therefore degenerate subspace. As an illustration, analyze trace-norm...

We use a modified perturbative renormalization group approach to study the random quantum antiferromagnetic spin-$\frac{3}{2}$ chain. find that in case of rectangular distributions there is Griffiths phase, and we obtain dynamical critical exponent Z as function disorder. Only extreme disorder, characterized by power-law distribution exchange couplings, evidence singlet phase could be reached. discuss differences between our results those obtained other approaches.

We investigate the occurrence of many-body localization (MBL) on a spin-1/2 transverse-field Ising model defined Chimera connectivity graph with random exchange interactions and longitudinal fields. observe transition from an ergodic phase to nonthermal for individual energy eigenstates induced by critical disorder strength parameters. Our result follows analysis both mean half-system block entanglement energy-level statistics. identify point associated this using maximum variance over...

We investigate the phenomenon of spatial many-body localization (MBL) through pairwise correlation measures based on one and two-point functions. The system considered is Heisenberg spin-1/2 chain with exchange interaction $J$ random onsite disorder strength $h$. As a representative measure obtained from one-point functions only, we use global entanglement. Through its finite size scaling analysis, locate MBL critical point at $h_{c}/J = 3.8$. for involving functions, analyze geometric...

The zero-temperature phase diagram of the anisotropic, strongly disordered antiferromagnetic quantum spin-1 chain is investigated, within framework a real-space renormalization-group approach. In presence uniform anisotropy there occurs transition from random singlet to an Ising controlled by fixed point that does not have Heisenberg symmetry. We find evidence due randomness in similar which for spin-$\frac{1}{2}$ chains.

We discuss the thermal and magnetic entanglement in one-dimensional Kondo necklace model. Firstly, we show how naturally present at zero temperature is distributed among pairs of spins according to strength two couplings chain, namely, exchange interaction hopping energy. The effect presence an external field then investigated, being discussed adjustment these variables order control available system. In particular, it indicated existence a critical above which undergoes sharp variation,...

We introduce a counter-diabatic approach for deriving Hamiltonians modeling superchargable quantum batteries (QBs). A necessary requirement the supercharging process is existence of multipartite interactions among cells battery. Remarkably, this condition may be insufficient no matter number terms in Hamiltonian. analytically illustrate kind insufficiency through model QB based on adiabatic version Grover search problem. On other hand, we provide with just mild global connections system. To...

We use entanglement entropy and finite-size scaling methods to investigate the ground-state properties of a $\mathrm{spin}\text{\ensuremath{-}}1/2$ Ising chain with two-spin $({J}_{2})$ four-spin $({J}_{4})$ interactions in transverse magnetic field $(B)$. concentrate our study on unexplored critical region $B=1$ obtain phase diagram model $({J}_{4}\ensuremath{-}{J}_{2})$ plane. The phases found include ferromagnetic (F), antiferromagnetic (AF), as well more complex involving spin...

Motzkin paths are one of several directed walk models polymers which have been used to investigate configurational properties. They the advantage, like Dyck paths, that can often be solved exactly, and they a further advantage over when considering physical systems involving an interface or surface. We illustrate their utility by situations where path used. consider localization periodic random copolymers at interface, under influence applied force, unzipping (by force) duplex polymer with...