Related papers: Sixth-order time-convolutionless master equation and beyond: Late-time resummations, two types of divergences, and the limits of validity

Related papers

Solving boundary time crystals via the superspin method [44.99833362998488]
We analyse the Liouvillian spectrum of dissipative spin models, within a perturbative framework in the weak-dissipation limit.<n>We compute the eigenvalues to first order in perturbation theory, providing a direct and transparent explanation for the emergence of the time crystal phase.
arXiv Detail & Related papers (2025-07-09T16:25:31Z)
Universal quantum melting of quasiperiodic attractors in driven-dissipative cavities [0.0]
We develop a quantum description of limit tori within the Lindblad master-equation formalism.<n>We analyze the system across the quantum-to-classical transition.<n>Our results establish the quantum melting of limit tori as a distinct non-equilibrium critical phenomenon.
arXiv Detail & Related papers (2025-07-04T18:26:04Z)
Quantum Rabi oscillations in the semiclassical limit: backreaction on the cavity field and entanglement [89.99666725996975]
We show that for a strong atom-field coupling, when the duration of the $pi $pulse is below $100omega -1$, the behaviour of the atomic excitation probability deviates significantly from the textbook.<n>In the rest of this work we study numerically the backreaction of the qubit on the cavity field and the resulting atom-field entanglement.
arXiv Detail & Related papers (2025-04-12T23:24:59Z)
Quantum signatures and decoherence during inflation from deep subhorizon perturbations [0.0]
We investigate the decoherence and associated quantum corrections to the correlation functions of superhorizon scalar curvature perturbations.<n>The latter are considered as an open quantum system which undergoes quantum decoherence induced by a time-dependent environment.<n>We compute the quantum corrections to cosmological correlation functions, by solving the transport equations induced by the quantum master equation.
arXiv Detail & Related papers (2025-03-29T17:10:19Z)
Enforced Gaplessness from States with Exponentially Decaying Correlations [0.0]
We show that even certain exponentially decaying correlations can imply gaplessness. Our findings have implications for identifying the subset of Hilbert space to which gapped ground states belong.
arXiv Detail & Related papers (2025-03-03T19:00:37Z)
Optimal convergence rates in trace distance and relative entropy for the quantum central limit theorem [2.7855886538423182]
We show that for a centered $m$-mode quantum state with finite third-order moments, the trace distance between $rhoboxplus n$ and $rho_G$ decays at the optimal rate of $mathcalO(n-1/2)$. For states with finite fourth-order moments, we prove that the relative entropy between $rhoboxplus n$ and $rho_G$ decays at the optimal rate of $mathcalO(n-1)$.
arXiv Detail & Related papers (2024-10-29T12:35:47Z)
On the $O(\frac{\sqrt{d}}{T^{1/4}})$ Convergence Rate of RMSProp and Its Momentum Extension Measured by $\ell_1$ Norm [54.28350823319057]
This paper considers the RMSProp and its momentum extension and establishes the convergence rate of $frac1Tsum_k=1T. Our convergence rate matches the lower bound with respect to all the coefficients except the dimension $d$. Our convergence rate can be considered to be analogous to the $frac1Tsum_k=1T.
arXiv Detail & Related papers (2024-02-01T07:21:32Z)
Quantum error mitigation for Fourier moment computation [49.1574468325115]
This paper focuses on the computation of Fourier moments within the context of a nuclear effective field theory on superconducting quantum hardware. The study integrates echo verification and noise renormalization into Hadamard tests using control reversal gates. The analysis, conducted using noise models, reveals a significant reduction in noise strength by two orders of magnitude.
arXiv Detail & Related papers (2024-01-23T19:10:24Z)
Real-time dynamics of false vacuum decay [49.1574468325115]
We investigate false vacuum decay of a relativistic scalar field in the metastable minimum of an asymmetric double-well potential. We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion.
arXiv Detail & Related papers (2023-10-06T12:44:48Z)
Black hole complementarity from microstate models: A study of information replication and the encoding in the black hole interior [2.6004029282087306]
We study how the black hole complementarity principle can emerge from quantum gravitational dynamics within a local semiclassical approximation. We find that the key to the replication of infalling information is the decoupling of various degrees of freedom.
arXiv Detail & Related papers (2023-07-10T18:00:08Z)
Observing super-quantum correlations across the exceptional point in a single, two-level trapped ion [48.7576911714538]
In two-level quantum systems - qubits - unitary dynamics theoretically limit these quantum correlations to $2qrt2$ or 1.5 respectively. Here, using a dissipative, trapped $40$Ca$+$ ion governed by a two-level, non-Hermitian Hamiltonian, we observe correlation values up to 1.703(4) for the Leggett-Garg parameter $K_3$. These excesses occur across the exceptional point of the parity-time symmetric Hamiltonian responsible for the qubit's non-unitary, coherent dynamics.
arXiv Detail & Related papers (2023-04-24T19:44:41Z)
On the irrelevance of the scrambling power of gravity for black hole radiation [0.0]
Hawking radiation, whose spectrum was calculated considering particles scattering off black holes, is connected to the paradox of the loss of information falling into them. We show that the scrambling power of the gravitational field of a black hole is negligible with respect to the scrambling power of flat space-time.
arXiv Detail & Related papers (2023-04-24T17:17:28Z)
Bound state of distant photons in waveguide quantum electrodynamics [137.6408511310322]
Quantum correlations between distant particles remain enigmatic since the birth of quantum mechanics. We predict a novel kind of bound quantum state in the simplest one-dimensional setup of two interacting particles in a box. Such states could be realized in the waveguide quantum electrodynamics platform.
arXiv Detail & Related papers (2023-03-17T09:27:02Z)
On parametric resonance in the laser action [91.3755431537592]
We consider the selfconsistent semiclassical Maxwell--Schr"odinger system for the solid state laser. We introduce the corresponding Poincar'e map $P$ and consider the differential $DP(Y0)$ at suitable stationary state $Y0$.
arXiv Detail & Related papers (2022-08-22T09:43:57Z)
Quantum chaos and thermalization in the two-mode Dicke model [77.34726150561087]
We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model. The two-mode Dicke model exhibits normal to superradiant quantum phase transition. We show that the temporal fluctuations of the expectation value of the collective spin observable around its average are small and decrease with the effective system size.
arXiv Detail & Related papers (2022-07-08T11:16:29Z)
Role of boundary conditions in the full counting statistics of topological defects after crossing a continuous phase transition [62.997667081978825]
We analyze the role of boundary conditions in the statistics of topological defects. We show that for fast and moderate quenches, the cumulants of the kink number distribution present a universal scaling with the quench rate.
arXiv Detail & Related papers (2022-07-08T09:55:05Z)
Analyticity constraints bound the decay of the spectral form factor [0.0]
Quantum chaos cannot develop faster than $lambda leq 2 pi/(hbar beta)$ for systems in thermal equilibrium. We show that similar constraints also bound the decay of the spectral form factor (SFF) The relation of the derived bound with other known bounds, including quantum speed limits, is discussed.
arXiv Detail & Related papers (2022-02-23T19:00:00Z)
Periodically driven Rydberg chains with staggered detuning [0.0]
We study the stroboscopic dynamics of a driven finite Rydberg chain with staggered ($Delta$) and time-dependent uniform ($lambda(t)$) detuning terms using exact diagonalization (ED) We show that at intermediate drive ($omega_D$), the presence of a finite $Delta$ results in violation of the eigenstate thermalization hypothesis (ETH) via clustering of Floquet eigenstates. The violation of ETH in these driven finite-sized chains is also evident from the dynamical freezing displayed by the density density correlation function at specific $omega_D
arXiv Detail & Related papers (2021-12-29T19:04:07Z)
Random quantum circuits transform local noise into global white noise [118.18170052022323]
We study the distribution over measurement outcomes of noisy random quantum circuits in the low-fidelity regime. For local noise that is sufficiently weak and unital, correlations (measured by the linear cross-entropy benchmark) between the output distribution $p_textnoisy$ of a generic noisy circuit instance shrink exponentially. If the noise is incoherent, the output distribution approaches the uniform distribution $p_textunif$ at precisely the same rate.
arXiv Detail & Related papers (2021-11-29T19:26:28Z)
Information storage and near horizon quantum correlations [0.0]
We show that the entropy sphere associated with the underlying microstructure has to be necessarily broadened when the fine grained radiation entropy becomes maximal. We argue that the standard thermodynamical description is valid so long the black hole viewed from outside is sufficiently large, radiation escaping into the future null infinity can be described on a smooth spacetime background, and the von Neumann entropy of Hawking radiation evolves unitarily.
arXiv Detail & Related papers (2021-09-03T17:32:45Z)
Distinguishing Random and Black Hole Microstates [0.0]
We expand ideas by computing many generalizations including the Petz R'enyi relative entropy, sandwiched R'enyi relative entropy, fidelities, and trace distances. These generalized quantities are able to teach us about new structures in the space of random states and black hole microstates. We discuss the implications of our results on the black hole information problem using replica wormholes.
arXiv Detail & Related papers (2021-07-30T18:00:00Z)
Spread of Correlations in Strongly Disordered Lattice Systems with Long-Range Coupling [0.0]
We investigate the spread of correlations carried by an excitation in a 1-dimensional lattice system with high on-site energy disorder. The increase in correlation between the initially quenched node and a given node exhibits three phases: quadratic in time, linear in time, and saturation.
arXiv Detail & Related papers (2021-06-15T15:47:20Z)
Distribution of Kinks in an Ising Ferromagnet After Annealing and the Generalized Kibble-Zurek Mechanism [0.8258451067861933]
We consider a one-dimensional Isingmagnet induced by a temperature quench in finite time. The universal power-law scaling of cumulants is corroborated by numerical simulations based on Glauber dynamics. We consider linear, nonlinear, and exponential cooling schedules, among which the latter provides the most efficient shortcuts to cooling in a given time.
arXiv Detail & Related papers (2021-05-19T13:58:33Z)
Towards understanding the power of quantum kernels in the NISQ era [79.8341515283403]
We show that the advantage of quantum kernels is vanished for large size datasets, few number of measurements, and large system noise. Our work provides theoretical guidance of exploring advanced quantum kernels to attain quantum advantages on NISQ devices.
arXiv Detail & Related papers (2021-03-31T02:41:36Z)
Exact one- and two-site reduced dynamics in a finite-size quantum Ising ring after a quench: A semi-analytical approach [4.911435444514558]
We study the non-equilibrium dynamics of a homogeneous quantum Ising ring after a quench. The long-timescale reduced dynamics of a single spin and of two nearest-neighbor spins is studied.
arXiv Detail & Related papers (2021-03-23T13:14:50Z)
Mid-infrared homodyne balanced detector for quantum light characterization [52.77024349608834]
We present the characterization of a novel balanced homodyne detector operating in the mid-infrared. We discuss the experimental results with a view to possible applications to quantum technologies, such as free-space quantum communication.
arXiv Detail & Related papers (2021-03-16T11:08:50Z)
Universal limitation of quantum information recovery: symmetry versus coherence [0.0]
We show limitations on the information recovery from scrambling dynamics with arbitrary Lie group symmetries. We rigorously prove that under the energy conservation law, the error of the information recovery from a small black hole remains unignorably large until it completely evaporates. The relations also provide a unified view of the symmetry restrictions on quantum information processing.
arXiv Detail & Related papers (2021-03-02T17:16:15Z)
Fast Rates for the Regret of Offline Reinforcement Learning [69.23654172273085]
We study the regret of reinforcement learning from offline data generated by a fixed behavior policy in an infinitehorizon discounted decision process (MDP) We show that given any estimate for the optimal quality function $Q*$, the regret of the policy it defines converges at a rate given by the exponentiation of the $Q*$-estimate's pointwise convergence rate.
arXiv Detail & Related papers (2021-01-31T16:17:56Z)
Anharmonic oscillator: a solution [77.34726150561087]
The dynamics in $x$-space and in $(gx)-space corresponds to the same energy spectrum with effective coupling constant $hbar g2$. A 2-classical generalization leads to a uniform approximation of the wavefunction in $x$-space with unprecedented accuracy.
arXiv Detail & Related papers (2020-11-29T22:13:08Z)
Dynamical quantum phase transition in a bosonic system with long-range interactions [0.0]
We show that the emergence of a dynamical quantum phase transition hinges on the generation of a finite mass gap following the quench. In general, we can define two distinct dynamical phases characterized by the finiteness of the post-quench mass gap. The Loschmidt echo exhibits periodical nonanalytic cusps whenever the initial state has a vanishing mass gap and the final state has a finite mass gap.
arXiv Detail & Related papers (2020-11-11T10:04:50Z)
A Dynamical Central Limit Theorem for Shallow Neural Networks [48.66103132697071]
We prove that the fluctuations around the mean limit remain bounded in mean square throughout training. If the mean-field dynamics converges to a measure that interpolates the training data, we prove that the deviation eventually vanishes in the CLT scaling.
arXiv Detail & Related papers (2020-08-21T18:00:50Z)
Circuit Quantum Electrodynamics [62.997667081978825]
Quantum mechanical effects at the macroscopic level were first explored in Josephson junction-based superconducting circuits in the 1980s. In the last twenty years, the emergence of quantum information science has intensified research toward using these circuits as qubits in quantum information processors. The field of circuit quantum electrodynamics (QED) has now become an independent and thriving field of research in its own right.
arXiv Detail & Related papers (2020-05-26T12:47:38Z)
Quantum interactions with pulses of radiation [77.34726150561087]
This article presents a general master equation formalism for the interaction between travelling pulses of quantum radiation and localized quantum systems. We develop a complete input-output theory to describe the driving of quantum systems by arbitrary incident pulses of radiation and the quantum state of the field emitted into any desired outgoing temporal mode.
arXiv Detail & Related papers (2020-03-10T08:35:18Z)

This list is automatically generated from the titles and abstracts of the papers in this site.