1,110 research outputs found
Competing coherent and dissipative dynamics close to quantum criticality
We investigate the competition of coherent and dissipative dynamics in
many-body systems at continuous quantum transitions. We consider dissipative
mechanisms that can be effectively described by Lindblad equations for the
density matrix of the system. The interplay between the critical coherent
dynamics and dissipation is addressed within a dynamic finite-size scaling
framework, which allows us to identify the regime where they develop a
nontrivial competition. We analyze protocols that start from critical many-body
ground states and put forward general dynamic scaling behaviors involving the
Hamiltonian parameters and the coupling associated with the dissipation. This
scaling scenario is supported by a numerical study of the dynamic behavior of a
one-dimensional lattice fermion gas undergoing a quantum Ising transition in
the presence of dissipative mechanisms such as local pumping, decaying, and
dephasing.Comment: 9 pages, 4 figure
Scaling of decoherence and energy flow in interacting quantum spin systems
We address the quantum dynamics of a system composed of a qubit globally
coupled to a many-body system characterized by short-range interactions. We
employ a dynamic finite-size scaling framework to investigate the
out-of-equilibrium dynamics arising from the sudden variation (turning on) of
the interaction between the qubit and the many-body system, in particular when
the latter is in proximity of a quantum first-order or continuous phase
transition. Although the approach is quite general, we consider d-dimensional
quantum Ising spin models in the presence of transverse and longitudinal
fields, as paradigmatic quantum many-body systems. To characterize the
out-of-equilibrium dynamics, we focus on a number of quantum-information
oriented properties of the model. Namely, we concentrate on the decoherence
features of the qubit, the energy interchanges among the qubit and the
many-body system during the out-of-equilibrium dynamics, and the work
distribution associated with the quench. The scaling behaviors predicted by the
dynamic finite-size scaling theory are verified through extensive numerical
computations for the one-dimensional Ising model, which reveal a fast
convergence to the expected asymptotic behavior with increasing the system
size.Comment: 16 pages, 9 figure
Phase diagram of the extended Bose Hubbard model
By means of the Density Matrix Renormalization Group technique, we accurately
determine the zero-temperature phase diagram of the one-dimensional extended
Bose Hubbard model with on-site and nearest-neighbor interactions. We analyze
the scaling of the charge and of the neutral ground-state energy gaps, as well
as of various order parameters. In this way we come to an accurate location of
the boundaries between the superfluid and the insulating phases. In this last
region we are able to distinguish between the conventional Mott insulating and
density-wave phases, and the Haldane Insulator phase displaying long-range
string ordering, as originally predicted by E.G. Dalla Torre, E. Berg and E.
Altman in Phys. Rev. Lett. 97, 260401 (2006).Comment: 13 pages, 6 figures. To appear in NJP, in the focus issue on "Bose
Condensation Phenomena in Atomic and Solid State Physics
Ground-state fidelity at first-order quantum transitions
We analyze the scaling behavior of the fidelity, and the corresponding
susceptibility, emerging in finite-size many-body systems whenever a given
control parameter is varied across a quantum phase transition. For
this purpose we consider a finite-size scaling (FSS) framework. Our working
hypothesis is based on a scaling assumption of the fidelity in terms of the FSS
variables associated to and to its variation . This
framework entails the FSS predictions for continuous transitions, and meanwhile
enables to extend them to first-order transitions, where the FSS becomes
qualitatively different. The latter is supported by analytical and numerical
analyses of the quantum Ising chain along its first-order quantum transition
line, driven by an external longitudinal field.Comment: 10 pages, 6 figures. Revised versio
Dynamic Kibble-Zurek scaling framework for open dissipative many-body systems crossing quantum transitions
We study the quantum dynamics of many-body systems, in the presence of
dissipation due to the interaction with the environment, under Kibble-Zurek
(KZ) protocols in which one Hamiltonian parameter is slowly, and linearly in
time, driven across the critical value of a zero-temperature quantum
transition. In particular we address whether, and under which conditions, open
quantum systems can develop a universal dynamic scaling regime similar to that
emerging in closed systems. We focus on a class of dissipative mechanisms whose
dynamics can be reliably described through a Lindblad master equation governing
the time evolution of the system's density matrix. We argue that a dynamic
scaling limit exists even in the presence of dissipation, whose main features
are controlled by the universality class of the quantum transition. This
requires a particular tuning of the dissipative interactions, whose decay rate
should scale as with increasing the time scale
of the KZ protocol, where the exponent depends on the
dynamic exponent and the renormalization-group dimension of the
driving Hamiltonian parameter. Our dynamic scaling arguments are supported by
numerical results for KZ protocols applied to a one-dimensional fermionic wire
undergoing a quantum transition in the same universality class of the quantum
Ising chain, in the presence of dissipative mechanisms which include local
pumping, decay, and dephasing.Comment: 15 pages, 8 figure
Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
By means of analytical and numerical methods we analyze the phase diagram of
polaritons in one-dimensional coupled cavities. We locate the phase boundary,
discuss the behavior of the polariton compressibility and visibility fringes
across the critical point, and find a non-trivial scaling of the phase boundary
as a function of the number of atoms inside each cavity. We also predict the
emergence of a polaritonic glassy phase when the number of atoms fluctuates
from cavity to cavity.Comment: 4 pages, 5 figures. Published versio
Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
By means of analytical and numerical methods we analyze the phase diagram of
polaritons in one-dimensional coupled cavities. We locate the phase boundary,
discuss the behavior of the polariton compressibility and visibility fringes
across the critical point, and find a non-trivial scaling of the phase boundary
as a function of the number of atoms inside each cavity. We also predict the
emergence of a polaritonic glassy phase when the number of atoms fluctuates
from cavity to cavity.Comment: 4 pages, 5 figures. Published versio
Dynamic finite-size scaling after a quench at quantum transitions
We present a general dynamic finite-size scaling theory for the quantum
dynamics after an abrupt quench, at both continuous and first-order quantum
transitions. For continuous transitions, the scaling laws are naturally ruled
by the critical exponents and the renormalization-group dimension of the
perturbation at the transition. In the case of first-order transitions, it is
possible to recover a universal scaling behavior, which is controlled by the
size behavior of the energy gap between the lowest energy levels. We discuss
these findings in the framework of the paradigmatic quantum Ising ring, and
support the dynamic scaling laws by numerical evidence.Comment: 10 pages, 7 figure
Out-of-equilibrium dynamics driven by localized time-dependent perturbations at quantum phase transitions
We investigate the quantum dynamics of many-body systems subject to local,
i.e. restricted to a limited space region, time-dependent perturbations. If the
perturbation drives the system across a quantum transition, an off-equilibrium
behavior is observed, even when the perturbation is very slow. We show that,
close to the transition, time-dependent quantities obey scaling laws. In
first-order quantum transitions, the scaling behavior is universal, and some
scaling functions can be exactly computed. For continuous quantum transitions,
the scaling laws are controlled by the standard critical exponents and by the
renormalization-group dimension of the perturbation at the transition. Our
scaling approach is applied to the quantum Ising ring which presents both
first-order and continuous quantum transitions.Comment: 10 pages, 4 fig
Entanglement Echoes in Quantum Computation
We study the stability of entanglement in a quantum computer implementing an
efficient quantum algorithm, which simulates a quantum chaotic dynamics. For
this purpose, we perform a forward-backward evolution of an initial state in
which two qubits are in a maximally entangled Bell state. If the dynamics is
reversed after an evolution time , there is an echo of the entanglement
between these two qubits at time . Perturbations attenuate the
pairwise entanglement echo and generate entanglement between these two qubits
and the other qubits of the quantum computer.Comment: 4 pages, 4 figure
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