Toward extracting scattering phase shift from integrated correlation functions on quantum computers
- URL: http://arxiv.org/abs/2504.14474v2
- Date: Mon, 27 Oct 2025 14:38:28 GMT
- Title: Toward extracting scattering phase shift from integrated correlation functions on quantum computers
- Abstract summary: We propose to extract the infinite volume scattering phase shifts through quantum simulation of the integrated correlation functions of trapped two-particle systems on quantum computers.<n>The integrated correlation function can be computed by an ancilla-based algorithm proposed in Ref.citePhysRevA.64.022319.
- Score: 9.664313255461707
- License: http://creativecommons.org/licenses/by-nc-nd/4.0/
- Abstract: Based on a established relation in Refs.~\cite{Guo:2023ecc,Guo:2024zal,Guo:2024pvt} that relates the integrated correlation functions for a trapped system to the infinite volume scattering phase shifts through a weighted integral, we propose to extract the infinite volume scattering phase shifts through quantum simulation of the integrated correlation functions of trapped two-particle systems on quantum computers. The integrated correlation function can be computed by an ancilla-based algorithm proposed in Ref.~\cite{PhysRevA.64.022319}. The proposal is demonstrated with a simple contact interaction fermion model.
Related papers
- Learning the generating functional for variance reduction in lattice QCD [43.67714876032719]
We present a methodology that leverages machine-learned normalizing flows to reduce the variance of arbitrary $N$-point correlation functions of bosonic operators.<n>We show that it is possible to systematically approach noiseless estimators of correlation functions in this framework.
arXiv Detail & Related papers (2026-06-14T19:24:19Z) - Extracting scattering phase shift in quantum mechanics on quantum computers [9.057428395961264]
We investigate the feasibility of extracting infinite volume scattering phase shift on quantum computers in a simple one-dimensional quantum mechanical model.<n>We use the formalism established in Ref.citeGuo:2023ecc that relates the integrated correlation functions (ICF) for a trapped system to the infinite volume scattering phase shifts through a weighted integral.
arXiv Detail & Related papers (2026-01-07T16:59:20Z) - The Jaynes-Cummings model in Phase Space Quantum Mechanics [0.0]
We address the phase space formulation of the Jaynes-Cummings model through the explicit construction of the full Wigner function for a hybrid bipartite quantum system composed of a two-level atom and a quantized coherent field.<n>This approach provides a detailed phase space perspective of fundamental quantum phenomena such as Rabi oscillations, atomic population inversion, and entanglement generation.
arXiv Detail & Related papers (2025-06-29T19:57:48Z) - Weak coupling limit for quantum systems with unbounded weakly commuting system operators [50.24983453990065]
This work is devoted to a rigorous analysis of the weak coupling limit (WCL) for the reduced dynamics of an open infinite-dimensional quantum system interacting with electromagnetic field or a reservoir formed by Fermi or Bose particles.<n>We derive in the weak coupling limit the reservoir statistics, which is determined by whose terms in the multi-point correlation functions of the reservoir are non-zero in the WCL.<n>We prove that the resulting reduced system dynamics converges to unitary dynamics with a modified Hamiltonian which can be interpreted as a Lamb shift to the original Hamiltonian.
arXiv Detail & Related papers (2025-05-13T05:32:34Z) - Quench Spectroscopy for Dissipative and (Non)-Hermitian Quantum Lattice Models [0.0]
We extend the quench spectroscopy method to dissipative and isolated non-Hermitian quantum lattice models.<n>We first investigate theoretically the dynamics of the open Bose-Hubbard chain confined in the superfluid phase induced by a sudden global quench.<n>We then discuss the applicability of the quench spectroscopy to non-Hermitian transverse-field Ising chain confined in the paramagnetic phase.
arXiv Detail & Related papers (2024-12-01T01:24:11Z) - Equivalence of dynamics of disordered quantum ensembles and semi-infinite lattices [44.99833362998488]
We develop a formalism for mapping the exact dynamics of an ensemble of disordered quantum systems onto the dynamics of a single particle propagating along a semi-infinite lattice.
This mapping provides a geometric interpretation on the loss of coherence when averaging over the ensemble and allows computation of the exact dynamics of the entire disordered ensemble in a single simulation.
arXiv Detail & Related papers (2024-06-25T18:13:38Z) - Toolbox for nonreciprocal dispersive models in circuit QED [41.94295877935867]
We provide a systematic method for constructing effective dispersive Lindblad master equations to describe weakly anharmonic superconducting circuits coupled by a generic dissipationless nonreciprocal linear system.
Results can be used for the design of complex superconducting quantum processors with nontrivial routing of quantum information, as well as quantum simulators of condensed matter systems.
arXiv Detail & Related papers (2023-12-13T18:44:55Z) - Universal spectral correlations in interacting chaotic few-body quantum
systems [0.0]
We show that the transition of the spectral form factor from the non-interacting to the strongly interacting case can be described as a simple combination of these two limiting cases.
Our approach accurately captures spectral correlations in actual physical system, which we demonstrate for kicked coupled rotors.
arXiv Detail & Related papers (2023-02-17T16:37:08Z) - Decoherence quantification through commutation relations decay for open
quantum harmonic oscillators [2.0508733018954843]
We consider the exponentially fast decay in the two-point commutator matrix of the system variables as a manifestation of quantum decoherence.
These features are exploited as nonclassical resources in quantum computation and quantum information processing technologies.
arXiv Detail & Related papers (2022-08-04T08:57:31Z) - Interaction of quantum systems with single pulses of quantized radiation [68.8204255655161]
We describe the interaction of a propagating pulse of quantum radiation with a localized quantum system.
By transformation to an appropriate picture, we identify the usual Jaynes-Cummings Hamiltonian between the scatterer and a superposition of the initial and final mode.
The transformed master equation offers important insights into the system dynamics and it permits numerically efficient solutions.
arXiv Detail & Related papers (2022-03-14T20:23:23Z) - Decimation technique for open quantum systems: a case study with
driven-dissipative bosonic chains [62.997667081978825]
Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics.
We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function.
We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
arXiv Detail & Related papers (2022-02-15T19:00:09Z) - Boundary Chaos [0.0]
Scrambling in many-body quantum systems causes initially local observables to spread uniformly over the whole available space under unitary dynamics.
We present a free quantum circuit model, in which ergodicity is induced by an impurity interaction placed on the system's boundary.
arXiv Detail & Related papers (2021-12-09T18:34:08Z) - Continuous and time-discrete non-Markovian system-reservoir
interactions: Dissipative coherent quantum feedback in Liouville space [62.997667081978825]
We investigate a quantum system simultaneously exposed to two structured reservoirs.
We employ a numerically exact quasi-2D tensor network combining both diagonal and off-diagonal system-reservoir interactions with a twofold memory for continuous and discrete retardation effects.
As a possible example, we study the non-Markovian interplay between discrete photonic feedback and structured acoustic phononovian modes, resulting in emerging inter-reservoir correlations and long-living population trapping within an initially-excited two-level system.
arXiv Detail & Related papers (2020-11-10T12:38:35Z) - Method of spectral Green functions in driven open quantum dynamics [77.34726150561087]
A novel method based on spectral Green functions is presented for the simulation of driven open quantum dynamics.
The formalism shows remarkable analogies to the use of Green functions in quantum field theory.
The method dramatically reduces computational cost compared with simulations based on solving the full master equation.
arXiv Detail & Related papers (2020-06-04T09:41:08Z) - Complexity of Fermionic Dissipative Interactions and Applications to
Quantum Computing [0.0]
Noise is typically considered as being inimical to quantum many-body correlations, leading the system to a classically tractable state.
This work shows that noise represented by two-body processes, such as pair loss, plays the same role as many-body interactions and makes otherwise classically simulable systems universal for quantum computing.
arXiv Detail & Related papers (2020-05-21T18:00:12Z) - Quantum Statistical Complexity Measure as a Signalling of Correlation
Transitions [55.41644538483948]
We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions.
We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain.
We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz.
arXiv Detail & Related papers (2020-02-05T00:45:21Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.