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Effect of polyelectrolyte mixing ratio and hydrophobic interactions on dynamics of (HM-)PDMAEMA/PEO-PMAA complexes. 聚电解质混合比例和疏水相互作用对(HM-)PDMAEMA/PEO-PMAA配合物动力学的影响
IF 3.1 2区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2026-01-14 DOI: 10.1063/5.0285727
Matteo Chamchoum, Orsolya Czakkel, Sylvain Prevost, Tilo Seydel, Nicolas Martin, Özge Azeri, Olga Kuzminskaya, Bin Dai, Michael Gradzielski

The complexation of oppositely charged polyelectrolytes leads to Polyelectrolyte Complexes (PECs). PECs can exist in many different states, depending on the architecture of the polymers and the environmental parameters of the solution. Using double hydrophilic block copolymers (DHBCs), PECs can be stabilized as dispersed aggregates in solutions. Specifically, the polymers involved in this investigation are a DHBC composed of a poly(ethylene glycol) block and a poly(methacrylic acid) block (PEO-PMAA) used as the polyanion and poly(2-(dimethylamino)ethyl methacrylate), with and without hydrophobic dodecyl substitutions, used as the polycation. In this paper, we discuss the behavior of the nanoscale dynamics with respect to their mixing ratio. We also test the impact of hydrophobic modifications on the dynamics of the aggregates. By neutron spin echo spectroscopy and neutron backscattering spectroscopy, we observed the role of electrostatic interaction as a friction induced on the polymers, where complexation leads to slower diffusion and the hydrophobic moieties affect the rigidity of the polymers.

带相反电荷的聚电解质络合形成聚电解质复合物(PECs)。PECs可以以许多不同的状态存在,这取决于聚合物的结构和溶液的环境参数。使用双亲水嵌段共聚物(dhbc), PECs可以作为分散的聚集体稳定在溶液中。具体来说,本研究涉及的聚合物是由聚乙二醇嵌段和聚甲基丙烯酸嵌段(PEO-PMAA)组成的DHBC,用作聚阴离子和聚(2-(二甲氨基)甲基丙烯酸乙酯),有或没有疏水十二烷基取代,用作聚阳离子。在本文中,我们讨论了纳米尺度动力学的行为与他们的混合比例。我们还测试了疏水改性对聚集体动力学的影响。通过中子自旋回波光谱和中子后向散射光谱,我们观察到静电相互作用在聚合物上的摩擦作用,其中络合导致扩散减慢,疏水部分影响聚合物的刚性。
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引用次数: 0
Nonadiabatic H-atom scattering channels on Ge(111) elucidated by the hierarchical equations of motion. 用层次运动方程解释了Ge(111)上的非绝热h原子散射通道。
IF 3.1 2区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2026-01-14 DOI: 10.1063/5.0303315
Xiaohan Dan, Zhuoran Long, Tianyin Qiu, Jan Paul Menzel, Qiang Shi, Victor S Batista

Atomic and molecular scattering at semiconductor interfaces plays a central role in surface chemistry and catalysis, yet predictive simulations remain challenging due to strong nonadiabatic effects, causing the breakdown of the Born-Oppenheimer approximation. Here, we present fully quantum simulations of H-atom scattering from the Ge(111)c(2 × 8) rest site using the hierarchical equations of motion (HEOM) with matrix product states. The system is modeled by mapping a density functional theory potential energy surface onto a Newns-Anderson Hamiltonian. Our simulations reproduce the experimentally observed bimodal kinetic energy distributions, capturing both elastic and energy-loss channels. By systematically examining atom-surface coupling, incident energy, and isotope substitution, we identify the strong-coupling regime required to recover the experimental energy-loss profile. This regime suppresses the elastic peak, implying additional site-specific scattering channels in the observed elastic peak. Deuterium substitution further produces a subtle shift in the energy-loss peak, consistent with experiment. These results establish HEOM as a rigorous framework for quantum surface scattering, capable of capturing nonadiabatic dynamics beyond electronic friction and perturbative approaches.

半导体界面上的原子和分子散射在表面化学和催化中起着核心作用,但由于强烈的非绝热效应,预测模拟仍然具有挑战性,导致玻恩-奥本海默近似的崩溃。本文利用具有矩阵积态的层次运动方程(HEOM)对Ge(111)c(2 × 8)静止点的h原子散射进行了全量子模拟。该系统通过将密度泛函理论势能面映射到牛顿-安德森哈密顿量上来建模。我们的模拟再现了实验观察到的双峰动能分布,同时捕获了弹性和能量损失通道。通过系统地检查原子-表面耦合、入射能量和同位素取代,我们确定了恢复实验能量损失曲线所需的强耦合状态。这种状态抑制了弹性峰,意味着在观察到的弹性峰中有额外的特定位置散射通道。氘取代进一步在能量损失峰中产生了微妙的位移,与实验结果一致。这些结果建立了HEOM作为量子表面散射的严格框架,能够捕获超越电子摩擦和微扰方法的非绝热动力学。
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引用次数: 0
Gauge-invariant long-wavelength TDDFT without empty states: From polarizability to Kubo conductivity across heterogeneous materials. 无空态的标准不变长波TDDFT:从极化率到跨异质材料的久保电导率。
IF 3.1 2区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2026-01-14 DOI: 10.1063/5.0310849
Christian Tantardini, Quentin Pitteloud, Boris Yakobson, Martin Peter Andersson

Electromagnetic response is commonly computed in two languages: length-gauge molecular polarizabilities and velocity-gauge (Kubo) conductivities for periodic solids. We introduce a compact, gauge-invariant bridge that carries the same microscopic inputs-transition dipoles and interaction kernels-from molecules to crystals and heterogeneous media, with explicit SI prefactors and fine-structure scaling via αfs. The long-wavelength limit is handled through a reduced dielectric matrix that retains local-field mixing; interfaces and 2D layers are treated with sheet boundary conditions (rather than naïve ultrathin films); and length-velocity equivalence is enforced in practice by including the equal-time (diamagnetic/contact) term alongside the paramagnetic current. Finite temperature is addressed on the Matsubara axis with numerically stable real-axis evaluation (complex polarization propagator), preserving unit consistency end-to-end. The framework enables predictive, unit-faithful observables from radio frequency to ultraviolet-RF/microwave heating and penetration depth, dielectric-logging contrast, interfacial optics of thin films and 2D sheets, and adsorption metrics via imaginary-axis polarizabilities. Numerical checks (gauge overlay and optical f-sum saturation) validate the implementation. Immediate priorities include compact, temperature- and salinity-aware kernels with quantified uncertainties and operando interfacial diagnostics for integration into multiphysics digital twins.

电磁响应通常用两种语言计算:长度计分子极化率和周期固体的速度计(Kubo)电导率。我们引入了一个紧凑的、尺度不变的桥,它携带从分子到晶体和异质介质的相同微观输入-跃迁偶极子和相互作用核,具有明确的SI前因子和通过αfs进行精细结构缩放。所述长波长限制通过保留局部场混合的简化介电矩阵来处理;用薄片边界条件处理界面和二维层(而不是naïve超薄膜);在实践中,通过在顺磁电流旁边加入等时间(抗磁/接触)项来实现长度-速度等价。利用数值稳定的实轴评估(复极化传播子)在Matsubara轴上寻址有限温度,保持单元端到端的一致性。该框架实现了从射频到紫外射频/微波加热和穿透深度、介电测井对比、薄膜和2D薄片的界面光学以及通过虚轴极化率的吸附指标的预测性、单位忠实性观测。数值检查(测量覆盖和光学f和饱和度)验证了实现。当前的优先事项包括紧凑的、温度和盐度感知的核,具有量化的不确定性,以及用于集成到多物理场数字孪生中的操作界面诊断。
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引用次数: 0
A study on cross peaks in two-dimensional optical spectroscopy: Quantum cross-correlation functions and interplay with excitonic coupling. 二维光谱中交叉峰的研究:量子互相关函数及其与激子耦合的相互作用。
IF 3.1 2区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2026-01-14 DOI: 10.1063/5.0303086
Sachin Prasad, Howe-Siang Tan

We present a comprehensive theoretical framework for simulating the two-dimensional (2D) optical spectra of molecular systems with complex-valued quantum frequency fluctuation cross-correlation functions (FXCFs). The FXCF contains information on the indirect interactions between two separate molecular excitations via coupling to common harmonic bath modes. We derive the complete set of third-order nonlinear optical response functions and systematically analyze their dynamic spectral features in the resulting 2D spectra. These include cross peaks and oscillating features, which appear only when the full complex-valued FXCF is used. If only the real-valued or "classical" FXCF is considered, the spectral signatures of the indirect interactions via coupling to the common modes do not manifest in the 2D spectra. In addition, we investigate how these spectral signatures of indirect interaction are modulated in the presence of excitonic coupling.

本文提出了用复值量子频率涨落互相关函数(FXCFs)模拟分子系统二维光谱的综合理论框架。FXCF包含两个单独的分子激发之间通过耦合到共谐波浴模式的间接相互作用的信息。我们导出了三阶非线性光学响应函数的完整集合,并系统地分析了它们在二维光谱中的动态光谱特征。这些包括交叉峰和振荡特征,只有在使用完整的复值FXCF时才会出现。如果只考虑实值或“经典”FXCF,则通过耦合到共模的间接相互作用的光谱特征不体现在二维光谱中。此外,我们研究了这些间接相互作用的光谱特征是如何在激子耦合的存在下被调制的。
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引用次数: 0
Rethinking the evidence for a liquid-liquid transition in water: What decompression experiments reveal. 重新思考水的液-液转变的证据:减压实验揭示了什么。
IF 3.1 2区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2026-01-14 DOI: 10.1063/5.0304941
Rajat Kumar, Ingrid de Almeida Ribeiro, Debdas Dhabal, Valeria Molinero

The possibility of a liquid-liquid transition (LLT) in supercooled water has sparked decades of debate. Recent pump-probe experiments interpret two peaks in the structure factor S(q) during and after decompression of high-density liquid (HDL) as evidence of coexistence with low-density liquid (LDL). However, this interpretation presents a fundamental puzzle: such coexistence is implausible at ambient pressure, below the estimated location of the liquid-liquid critical point (LLCP). Here, we use decompression simulations with ML-BOP to reconcile this contradiction. Even when water decompresses along the LLT, S(q) retains a single peak because HDL and LDL domains remain nanoscopic. We explain the two-peak S(q) observed experimentally as a single evolving liquid peak superimposed on a slower to respond, colder HDL arising from the temperature gradient across the sample. The simulations reveal that the decisive LLT signature is a transient growth and decay of the apparent correlation length ξ at low q, which emerges only when decompression proceeds along the LLT, with maximum ξ near the LLCP. Importantly, ξ remains low when decompressing from T ≥ Tc, or too rapidly. The experimental signatures could be explained by an exponential pressure drop to the LLT in ∼10 ns, the growth of ξ as LDL domains develop, peaking near the LLCP at ∼50 ns, and subsequent entry into the single-phase regime, from which crystallization proceeds. Our findings resolve the contradiction between the LLCP location and structural signatures, identifying the low q region of S(q) evolution-not peak splitting-as the key structural marker of the LLT in water.

过冷水中液-液转变(LLT)的可能性引发了数十年的争论。最近的泵-探针实验解释了高密度液体(HDL)减压期间和之后结构因子S(q)的两个峰,作为与低密度液体(LDL)共存的证据。然而,这种解释提出了一个基本的难题:这种共存在环境压力下是不可能的,低于液-液临界点(LLCP)的估计位置。在这里,我们使用ML-BOP减压模拟来调和这一矛盾。即使当水沿着LLT减压时,S(q)仍然保持单峰,因为HDL和LDL结构域仍然是纳米级的。我们将实验观察到的双峰S(q)解释为单个不断变化的液体峰叠加在响应较慢的较冷HDL上,这是由样品的温度梯度引起的。模拟结果表明,决定性的LLT特征是低q处视相关长度ξ的瞬态增长和衰减,只有在沿LLT进行解压缩时才会出现,在LLCP附近ξ最大。重要的是,当从T≥Tc解压缩或太快时,ξ值仍然很低。实验特征可以解释为在~ 10 ns内指数压降到LLT,随着LDL结构域的发展,ξ的增长,在~ 50 ns时在LLCP附近达到峰值,随后进入单相状态,从中进行结晶。我们的发现解决了LLCP位置与结构特征之间的矛盾,确定了S(q)演化的低q区(而不是峰分裂)是水中LLT的关键结构标志。
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引用次数: 0
Electron transfer in confined electromagnetic fields: A unified Fermi's golden rule rate theory and extension to lossy cavities. 受限电磁场中的电子转移:统一费米黄金定律速率理论及其在损耗腔中的推广。
IF 3.1 2区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2026-01-14 DOI: 10.1063/5.0310931
Wenxiang Ying, Abraham Nitzan

With the rapid development of nanophotonics and cavity quantum electrodynamics, there has been growing interest in how confined electromagnetic fields modify fundamental molecular processes such as electron transfer. In this paper, we revisit the problem of nonadiabatic electron transfer (ET) in confined electromagnetic fields studied in Semenov and Nitzan [J. Chem. Phys. 150, 174122 (2019)] and present a unified rate theory based on Fermi's golden rule. By employing a polaron-transformed Hamiltonian, we derive analytic expressions for the ET rate correlation functions that are valid across all temperature regimes and all cavity mode time scales. In the high-temperature limit, our formalism recovers the Marcus and Marcus-Jortner results, while in the low-temperature limit, it reveals the emergence of the energy gap law. We further extend the theory to include cavity loss by using an effective Brownian oscillator spectral density, which enables closed-form expressions for the ET rate in lossy cavities. As applications, we demonstrate two key cavity-induced phenomena: (i) resonance effects, where the ET rate is strongly enhanced with certain cavity mode frequencies, and (ii) electron-transfer-induced photon emission, arising from the population of cavity photon Fock states during the ET process. These results establish a general framework for understanding how confined electromagnetic fields reshape charge transfer dynamics and suggest novel opportunities for controlling and probing ET reactions in nanophotonic environments.

随着纳米光子学和腔量子电动力学的迅速发展,人们对受限电磁场如何改变电子转移等基本分子过程越来越感兴趣。本文重新讨论了Semenov和Nitzan在受限电磁场中研究的非绝热电子转移问题[J]。化学。并提出了基于费米黄金法则的统一速率理论。物理学报,150,174122(2019)。通过采用极化子变换的哈密顿量,我们推导出在所有温度范围和所有腔模时间尺度下有效的蒸散发速率相关函数的解析表达式。在高温极限下,我们的形式主义恢复了Marcus和Marcus- jortner结果,而在低温极限下,我们的形式主义揭示了能隙定律的出现。我们进一步扩展了该理论,通过使用一个有效的布朗振子谱密度来包括腔损失,这使得损耗腔中的ET速率的封闭形式表达式成为可能。作为应用,我们展示了两个关键的腔诱导现象:(i)共振效应,其中ET速率随着某些腔模式频率而强烈增强,以及(ii)电子转移诱导光子发射,由腔光子Fock态在ET过程中填充引起。这些结果为理解受限电磁场如何重塑电荷转移动力学建立了一个总体框架,并为在纳米光子环境中控制和探测ET反应提供了新的机会。
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引用次数: 0
Microscopic elasticity from MD. II. Liquid interfaces and lipid membranes. MD的微观弹性。液体界面和脂质膜。
IF 3.1 2区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2026-01-14 DOI: 10.1063/5.0303850
Andrew L Lewis, Benjamin Himberg, Alejandro Torres-Sánchez, Juan M Vanegas

Lipid membranes not only play critical roles in many cellular functions but are also unique in that they have properties of both fluid and elastic materials. While 2D elasticity theories, such as Canham-Helfrich-Evans, adequately capture the dominant energetics of membrane deformation, a full characterization of the 3D elastic response is necessary to account for the many modes of deformation and the role that lipid structure plays in determining the elastic energy. We use the stress-stress fluctuation (SSF) method to obtain local elasticity profiles of a simple water-dodecane interface and a lipid membrane from coarse-grained MARTINI molecular dynamics simulations. We validate the results from the SSF method through the explicit deformation method, which measures the change in the local stress tensor relative to a specific strain. Furthermore, we show that some expected symmetries of the elasticity tensor are locally broken due to the lateral fluidity of the interfacial systems and the physical constraint of mechanical equilibrium. Profiles of the lateral and transverse shear moduli show that the membrane is locally fluid, while the transverse shear modulus is locally nonzero, but its integral vanishes. We define the area, Young's, and bulk moduli, as well as the Poisson ratio for a lipid membrane through the compliance tensor, and use the area modulus to estimate the position of the neutral surface and the macroscopic bending modulus. Our elasticity calculations provide critical insights into the local mechanical properties of lipid bilayers and unravel the role of lateral fluidity in the membrane's elastic response.

脂质膜不仅在许多细胞功能中起着至关重要的作用,而且具有流体和弹性材料的特性。虽然canham - hellich - evans等二维弹性理论充分地捕捉了膜变形的主要能量学,但为了解释多种变形模式和脂质结构在决定弹性能量方面所起的作用,有必要对三维弹性响应进行全面表征。我们利用应力-应力波动(SSF)方法从粗粒度MARTINI分子动力学模拟中获得了简单水-十二烷界面和脂质膜的局部弹性谱。我们通过显式变形方法验证了SSF方法的结果,显式变形方法测量了相对于特定应变的局部应力张量的变化。此外,由于界面系统的横向流动性和力学平衡的物理约束,我们表明弹性张量的一些预期对称性在局部被打破。横向剪切模量曲线和横向剪切模量曲线表明,薄膜局部为流体,横向剪切模量局部非零,但其积分消失。我们通过柔度张量定义了脂质膜的面积模量、杨氏模量和体积模量以及泊松比,并使用面积模量来估计中性表面的位置和宏观弯曲模量。我们的弹性计算为脂质双层的局部力学特性提供了关键的见解,并揭示了横向流动性在膜弹性响应中的作用。
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引用次数: 0
Path-integral calculation of the second and third density virial coefficients of 4He. 4He的第二和第三密度维里系数的路径积分计算。
IF 3.1 2区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2026-01-14 DOI: 10.1063/5.0311898
Wenxiang Guo, Haiyang Zhang, Mingyu Su, Bo Gao

We present a comprehensive study of the second and third density virial coefficients, B(T) and C(T), of 4He across an extended temperature range from 1 K to 10 000 K, utilizing the path-integral Monte Carlo (PIMC) method and the most accurate interaction potentials. This work reports the first complete determination of B(T) within the PIMC framework, demonstrating excellent agreement and comparable uncertainties with results from the established phase-shift method, thus providing crucial cross-method validation. We generate a significantly extended and high-accuracy dataset for C(T), complementing existing literature values. A comprehensive uncertainty analysis quantifies contributions from both two-body and three-body potentials. The results reveal subtle differences from previous work for C(T) below 5 K, while reducing the uncertainty by approximately a factor of two in this low-temperature regime. This study provides crucial reference data to enhance the accuracy of primary standards for both temperature and pressure based on 4He.

利用路径积分蒙特卡罗(PIMC)方法和最精确的相互作用势,全面研究了4He在1 K至10 000 K的扩展温度范围内的第二和第三密度维里系数B(T)和C(T)。这项工作报告了在PIMC框架内首次完全确定B(T),与已建立的相移法的结果显示出极好的一致性和相当的不确定性,从而提供了关键的交叉方法验证。我们为C(T)生成了一个显著扩展和高精度的数据集,补充了现有的文献值。综合不确定性分析量化了两体和三体势的贡献。结果揭示了与以前的工作在5 K以下的C(T)上的细微差异,同时在这种低温状态下将不确定性降低了大约两倍。该研究为提高基于4He的温度和压力主要标准的精度提供了重要的参考数据。
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引用次数: 0
Microscopic elasticity from MD. I. Bulk solid and fluid systems. 微观弹性从MD. I.散装固体和流体系统。
IF 3.1 2区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2026-01-14 DOI: 10.1063/5.0303843
Andrew L Lewis, Benjamin Himberg, Alejandro Torres-Sánchez, Juan M Vanegas

Computational modeling, such as molecular dynamics and Monte Carlo simulations, can be used to estimate the elastic properties of materials through various stress and strain relationships. Here, we demonstrate the effectiveness of the stress-stress fluctuation (SSF) method to estimate the elastic properties of simple van der Waals and molecular materials. The SSF method allows computation of the complete elasticity tensor from a single equilibrium simulation without requiring any type of deformation. While extensively used to characterize the elastic coefficients of crystalline solids and glassy systems, application of the SSF method to fluid systems and biomaterials has been limited. Starting with argon in the solid, liquid, and gas phases, we show that the SSF method gives elastic coefficients and moduli in excellent agreement with values obtained with the explicit deformation and volume fluctuation methods. Comparison of the elastic coefficients and bulk modulus for solid argon with previous computational studies and experimental data provides further validation of our numerical implementation. Beyond argon, we show that the elastic properties of molecular fluids simulated with the coarse-grained MARTINI force-field, which include multi-body interactions such as angle potentials, are also accurately captured by the SSF method. Moreover, the impulsive correction for truncated potentials is essential to obtain accurate values for these fluids and vanishing shear moduli. Our results highlight the broad applicability of the SSF method across a broad range of systems and lay the foundation for its use to characterize the elastic properties of complex molecular systems.

计算建模,如分子动力学和蒙特卡罗模拟,可用于通过各种应力和应变关系估计材料的弹性特性。在这里,我们证明了应力-应力波动(SSF)方法在估计简单范德华和分子材料的弹性性能方面的有效性。SSF方法允许从单个平衡模拟中计算完整的弹性张量,而不需要任何类型的变形。虽然SSF方法广泛用于表征结晶固体和玻璃系统的弹性系数,但在流体系统和生物材料中的应用受到限制。从固体、液体和气相的氩气开始,我们发现SSF方法给出的弹性系数和模量与显式变形法和体积波动法得到的值非常吻合。将固体氩气的弹性系数和体积模量与以往的计算研究和实验数据进行比较,进一步验证了数值实现的有效性。除了氩气外,我们还发现用粗粒度MARTINI力场模拟的分子流体的弹性特性,包括多体相互作用,如角势,也可以通过SSF方法精确捕获。此外,截断势的脉冲校正对于获得这些流体和消失的剪切模量的精确值至关重要。我们的研究结果突出了SSF方法在广泛系统中的广泛适用性,并为其用于表征复杂分子系统的弹性特性奠定了基础。
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引用次数: 0
Comparison between explicit and implicit discretization strategies for a dissipative thermal environment. 耗散热环境的显式与隐式离散化策略之比较。
IF 3.1 2区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2026-01-14 DOI: 10.1063/5.0307152
Xinxian Chen, Ignacio Franco

We investigate strategies for simulating open quantum systems coupled to dissipative baths by comparing explicit wave function-based discretization [via multi-layer multi-configuration time-dependent Hartree (ML-MCTDH)] and the implicit density matrix-based master equation method [via tree tensor network hierarchical equations of motion (TTN-HEOM)]. For dissipative baths characterized by exponentially decaying bath correlation functions, the implicit discretization approach of HEOM-rooted in bath correlation function decompositions-proves significantly more efficient than explicit discretization of the bath into discrete harmonic modes. Explicit methods, like ML-MCTDH, require extensive mode discretization to approximate continuum baths, leading to computational bottlenecks. Case studies for two-level systems and a Fenna-Matthews-Olson complex model highlight TTN-HEOM's superiority in capturing dissipative dynamics with relaxations with a minimal number of auxiliary modes, while the explicit methods are as exact as the HEOM in pure dephasing regimes. This comparison is enabled by the TENSO package, which has both ML-MCTDH and TTN-HEOM implemented using the same computational structure and propagation strategy.

我们通过比较基于显式波函数的离散化[通过多层多构型时变哈特里(ML-MCTDH)]和基于隐式密度矩阵的主方程方法[通过树张量网络层次运动方程(TTN-HEOM)],研究了模拟与耗散场耦合的开放量子系统的策略。对于以指数衰减的浴液相关函数为特征的耗散浴液,基于浴液相关函数分解的heom隐式离散化方法比将浴液离散为离散谐波模式的显式离散化方法要有效得多。显式方法,如ML-MCTDH,需要广泛的模态离散来近似连续介质,从而导致计算瓶颈。两能级系统的实例研究和Fenna-Matthews-Olson复杂模型强调了TTN-HEOM在捕获具有最少辅助模的弛豫的耗散动力学方面的优势,而显式方法与纯减相状态下的HEOM一样精确。这种比较是由TENSO包实现的,它使用相同的计算结构和传播策略实现ML-MCTDH和TTN-HEOM。
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引用次数: 0
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Journal of Chemical Physics
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