Advertisement

Topics

Coherent State-Based Path Integral Methodology for Computing the Wigner Phase Space Distribution.

08:00 EDT 15th April 2019 | BioPortfolio

Summary of "Coherent State-Based Path Integral Methodology for Computing the Wigner Phase Space Distribution."

The accurate evaluation of the Wigner phase space density for multidimensional system remains a challenging task. Path integral Monte Carlo methods offer a numerically exact approach for obtaining the Boltzmann density in coordinate space, but the Fourier-type integral required to construct the Wigner distribution generally leads to poor convergence. This paper describes a path integral method for constructing the Wigner density which substantially mitigates the Monte Carlo sign problem and thus is applicable to systems with many degrees of freedom. The starting point is the path integral representation of the coherent state density, which does not involve a Fourier integral and thus converges rapidly. We then use the relation between the coherent state and Wigner densities to construct the Wigner function, taking advantage of destructive phase cancellation to truncate the infinite series and thus confine the integrand, avoiding highly oscillatory regions. We also describe the use of information-guided noise reduction (IGNoR) to improve the Monte Carlo statistics in the most challenging regimes. The method is applied to one-dimensional models, a system-bath Hamiltonian, as well as the formamide molecule within an ab initio quartic potential. These calculations suggest that the coherent state-based path integral method described in this paper offers an efficient, numerically exact approach for constructing the Wigner phase space density in systems of many degrees of freedom, and thus will be useful for quantizing the initial condition in classical trajectory-based simulations of dynamical properties.

Affiliation

Journal Details

This article was published in the following journal.

Name: The journal of physical chemistry. A
ISSN: 1520-5215
Pages:

Links

DeepDyve research library

PubMed Articles [20935 Associated PubMed Articles listed on BioPortfolio]

Steady-State Generation of Wigner-Negative States in One-Dimensional Resonance Fluorescence.

In this work we demonstrate numerically that the nonlinearity provided by a continuously driven two-level system allows for the generation of Wigner-negative states of the electromagnetic field confin...

Path Integral Energy Landscapes for Water Dimer.

The energy landscape for a discretised path integral representation of the water dimer is characterized in terms of the localised (classical) and delocalised minima and transition states. The transiti...

Sequential state discrimination of coherent states.

Sequential state discrimination is a strategy for quantum state discrimination of a sender's quantum states when N receivers are separately located. In this report, we propose optical designs that can...

Holographic Entanglement of Purification from Conformal Field Theories.

We explore a conformal field theoretic interpretation of the holographic entanglement of purification, which is defined as the minimal area of the entanglement wedge cross section. We argue that, in A...

Negativity volume of the generalized Wigner function as an entanglement witness for hybrid bipartite states.

In a recent paper, Tilma, Everitt et al. derived a generalized Wigner function that can characterize both the discrete and continuous variable states, i.e., hybrid states. As such, one can expect that...

Clinical Trials [5278 Associated Clinical Trials listed on BioPortfolio]

The PATH Study to Promote Physical Activity After Knee Replacement

The purpose of this study is to examine the feasibility and preliminary efficacy of a physical therapist led physical activity intervention for knee replacement patients within an outpatie...

Electronic Decision Support for Intervention in Poorly Controlled Type 2 Diabetes

To determine the impact of an electronic decision support tool on physician decision making and patient outcomes for the treatment of poorly controlled diabetes mellitus. Primary endpoint ...

Improvements in Cognitive Skills of Older Adults Using Dynamic Visual Attention Training

The proposed SBIR Phase I study tests the feasibility of PATH neurotraining for improving cognitive skills in older adults and, potentially, forestalling or protecting against cognitive de...

Clinical Evaluation of Therapy™ Cool Path™ Duo Cardiac Ablation System for the Treatment of Typical Atrial Flutter (AFL)

The purpose of this study is to demonstrate that ablation with the Therapy™ Cool Path™ Duo cardiac ablation system can eliminate typical atrial flutter and that its use does not result...

Cost-effectiveness of Multidisciplinary Management of Tinnitus

Background: Tinnitus is a common chronic health condition that affects 10% to 20% of the general population. Among severe sufferers it causes disability in various areas. As a result of th...

Medical and Biotech [MESH] Definitions

A sampling methodology using small sample sizes when conducting surveys in small geographical or population-based areas or lots.

The prediction or projection of the nature of future problems or existing conditions based upon the extrapolation or interpretation of existing scientific data or by the application of scientific methodology.

An approach, process, or methodology which emphasizes credible evidence and the best available scientific knowledge, judiciously integrated to achieve the best possible outcomes in structural design. For example, the design of a new OUTPATIENT CLINIC might incorporate a review of published research on outpatient clinic design, decisions on similar past projects, along with interviews with staff and consumers.

Computer-assisted analysis and processing of problems in a particular area.

Storing and processing data on multiple servers that can be accessed through the Internet.

Advertisement
Quick Search
Advertisement
Advertisement

 


DeepDyve research library

Searches Linking to this Article