In this work, we have employed Monte Carlo calculations to study the Ising model on a 2D additive small-world network with long-range interactions depending on the geometric distance between interacting sites. The network is initially defined by a regular square lattice and with probability $p$ each site is tested for the possibility of creating a long-range interaction with any other site that has not yet received one. Here, we used the specific case where $p=1$, meaning that every site in the network has one long-range interaction in addition to the short-range interactions of the regular lattice. These long-range interactions depend on a power-law form, $J_{ij}=r_{ij}^{-alpha}$, with the geometric distance $r_{ij}$ between connected sites $i$ and $j$. In current two-dimensional model, we found that mean-field critical behavior is observed only at $alpha=0$. As $alpha$ increases, the network size influences the phase transition point of the system, i.e., indicating a crossover behavior. However, given the two-dimensional system, we found the critical behavior of the short-range interaction at $alphaapprox2$. Thus, the limitation in the number of long-range interactions compared to the globally coupled model, as well as the form of the decay of these interactions, prevented us from finding a regime with finite phase transition points and continuously varying critical exponents in $0
{"title":"2D additive small-world network with distance-dependent interactions","authors":"R. A. Dumer, M. Godoy","doi":"arxiv-2409.02033","DOIUrl":"https://doi.org/arxiv-2409.02033","url":null,"abstract":"In this work, we have employed Monte Carlo calculations to study the Ising\u0000model on a 2D additive small-world network with long-range interactions\u0000depending on the geometric distance between interacting sites. The network is\u0000initially defined by a regular square lattice and with probability $p$ each\u0000site is tested for the possibility of creating a long-range interaction with\u0000any other site that has not yet received one. Here, we used the specific case\u0000where $p=1$, meaning that every site in the network has one long-range\u0000interaction in addition to the short-range interactions of the regular lattice.\u0000These long-range interactions depend on a power-law form,\u0000$J_{ij}=r_{ij}^{-alpha}$, with the geometric distance $r_{ij}$ between\u0000connected sites $i$ and $j$. In current two-dimensional model, we found that\u0000mean-field critical behavior is observed only at $alpha=0$. As $alpha$\u0000increases, the network size influences the phase transition point of the\u0000system, i.e., indicating a crossover behavior. However, given the\u0000two-dimensional system, we found the critical behavior of the short-range\u0000interaction at $alphaapprox2$. Thus, the limitation in the number of\u0000long-range interactions compared to the globally coupled model, as well as the\u0000form of the decay of these interactions, prevented us from finding a regime\u0000with finite phase transition points and continuously varying critical exponents\u0000in $0<alpha<2$.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"181 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196233","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We study the roughening of interfaces in phase-separated active suspensions on substrates. At large length and timescales, we show that the interfacial dynamics belongs to the |q|KPZ universality class discussed in Besse et al. Phys. Rev. Lett. 130, 187102 (2023). This holds despite the presence of long-ranged fluid flows. At early times, instead, the roughening exponents are the same as those in the presence of a momentum-conserving fluid. Surprisingly, when the effect of substrate friction can be ignored, the interface becomes random beyond a de Gennes-Taupin lengthscale which depends on the interfacial tension.
我们研究了相分离活性悬浮基底中的界面粗化问题。在大长度和大时间尺度下，我们证明界面动力学属于 Besse 等人在 Phys.130, 187102 (2023).尽管存在长距离流体流动，这一点仍然成立。相反，在早期，粗糙化指数与存在动量守恒流体时的粗糙化指数相同。令人惊奇的是，当基底摩擦的影响被忽略时，界面在超过取决于界面张力的 de Gennes-Taupin 长度尺度后变得随机。
{"title":"Interface dynamics of wet active systems","authors":"Fernando Caballero, Ananyo Maitra, Cesare Nardini","doi":"arxiv-2409.02288","DOIUrl":"https://doi.org/arxiv-2409.02288","url":null,"abstract":"We study the roughening of interfaces in phase-separated active suspensions\u0000on substrates. At large length and timescales, we show that the interfacial\u0000dynamics belongs to the |q|KPZ universality class discussed in Besse et al.\u0000Phys. Rev. Lett. 130, 187102 (2023). This holds despite the presence of\u0000long-ranged fluid flows. At early times, instead, the roughening exponents are\u0000the same as those in the presence of a momentum-conserving fluid. Surprisingly,\u0000when the effect of substrate friction can be ignored, the interface becomes\u0000random beyond a de Gennes-Taupin lengthscale which depends on the interfacial\u0000tension.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196230","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We study a stochastically driven, damped nonlinear oscillator whose frequency is modulated by a white or coloured noise. Using diagrammatic perturbation theory, we find that in the absence of nonlinearity, parametric modulation by a coloured noise can lead to a Kapitza pendulum-like stabilization of an unstable configuration provided the noise is anti-correlated. Further, we show that for modulation by a white noise of amplitude $lambda$ and correlation strength $F$, the system will have an extremely large response if the product of $lambda^{2}F$ equals a specific combination of the frequency and the damping coefficient. This prediction can be experimentally tested.
{"title":"Stochastic parametric modulation of linear and non-linear oscillators: Perturbation theory of the response function","authors":"Sourin Dey, Jayanta K. Bhattacharjee","doi":"arxiv-2409.01625","DOIUrl":"https://doi.org/arxiv-2409.01625","url":null,"abstract":"We study a stochastically driven, damped nonlinear oscillator whose frequency\u0000is modulated by a white or coloured noise. Using diagrammatic perturbation\u0000theory, we find that in the absence of nonlinearity, parametric modulation by a\u0000coloured noise can lead to a Kapitza pendulum-like stabilization of an unstable\u0000configuration provided the noise is anti-correlated. Further, we show that for\u0000modulation by a white noise of amplitude $lambda$ and correlation strength\u0000$F$, the system will have an extremely large response if the product of\u0000$lambda^{2}F$ equals a specific combination of the frequency and the damping\u0000coefficient. This prediction can be experimentally tested.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196238","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this study, we propose a new method for constrained combinatorial optimization using tensor networks. Combinatorial optimization methods employing quantum gates, such as quantum approximate optimization algorithm, have been intensively investigated. However, their limitations in errors and the number of qubits prevent them from handling large-scale combinatorial optimization problems. Alternatively, attempts have been made to solve larger-scale problems using tensor networks that can approximately simulate quantum states. In recent years, tensor networks have been applied to constrained combinatorial optimization problems for practical applications. By preparing a specific tensor network to sample states that satisfy constraints, feasible solutions can be searched for without the method of penalty functions. Previous studies have been based on profound physics, such as U(1) gauge schemes and high-dimensional lattice models. In this study, we devise to design feasible tensor networks using elementary mathematics without such a specific knowledge. One approach is to construct tensor networks with nilpotent-matrix manipulation. The second is to algebraically determine tensor parameters. For the principle verification of the proposed method, we constructed a feasible tensor network for facility location problem and conducted imaginary time evolution. We found that feasible solutions were obtained during the evolution, ultimately leading to the optimal solution. The proposed method is expected to facilitate the discovery of feasible tensor networks for constrained combinatorial optimization problems.
{"title":"Quick design of feasible tensor networks for constrained combinatorial optimization","authors":"Hyakka Nakada, Kotaro Tanahashi, Shu Tanaka","doi":"arxiv-2409.01699","DOIUrl":"https://doi.org/arxiv-2409.01699","url":null,"abstract":"In this study, we propose a new method for constrained combinatorial\u0000optimization using tensor networks. Combinatorial optimization methods\u0000employing quantum gates, such as quantum approximate optimization algorithm,\u0000have been intensively investigated. However, their limitations in errors and\u0000the number of qubits prevent them from handling large-scale combinatorial\u0000optimization problems. Alternatively, attempts have been made to solve\u0000larger-scale problems using tensor networks that can approximately simulate\u0000quantum states. In recent years, tensor networks have been applied to\u0000constrained combinatorial optimization problems for practical applications. By\u0000preparing a specific tensor network to sample states that satisfy constraints,\u0000feasible solutions can be searched for without the method of penalty functions.\u0000Previous studies have been based on profound physics, such as U(1) gauge\u0000schemes and high-dimensional lattice models. In this study, we devise to design\u0000feasible tensor networks using elementary mathematics without such a specific\u0000knowledge. One approach is to construct tensor networks with nilpotent-matrix\u0000manipulation. The second is to algebraically determine tensor parameters. For\u0000the principle verification of the proposed method, we constructed a feasible\u0000tensor network for facility location problem and conducted imaginary time\u0000evolution. We found that feasible solutions were obtained during the evolution,\u0000ultimately leading to the optimal solution. The proposed method is expected to\u0000facilitate the discovery of feasible tensor networks for constrained\u0000combinatorial optimization problems.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"42 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Fundamental Measure Theory (FMT) is a successful and versatile approach for describing the properties of the hard-sphere fluid and hard-sphere mixtures within the framework of classical density functional theory (DFT). Lutsko [Phys. Rev. E 102, 062137 (2020)] introduced a version of FMT containing two free parameters, to be fixed by additional physical constraints. Whereas Lutsko focused on the stability of crystalline phases, we introduce and employ two statistical mechanical sum rules pertinent for the fluid phase, that are not automatically satisfied by FMT. By minimizing the relative deviation between different routes to calculate the excess chemical potential and the isothermal compressibility we determine the two free parameters of the theory. Our results indicate that requiring consistency with these sum rules can improve the quality of predictions of FMT for properties of the hard-sphere fluid phase. We suggest that employing these (test particle) sum rules, which apply for any interparticle pair-potential, might provide a means of testing the performance and accuracy of general DFT approximations.
{"title":"Using test particle sum rules to construct accurate functionals in classical Density Functional Theory","authors":"Melih Gül, Roland Roth, Robert Evans","doi":"arxiv-2409.01750","DOIUrl":"https://doi.org/arxiv-2409.01750","url":null,"abstract":"Fundamental Measure Theory (FMT) is a successful and versatile approach for\u0000describing the properties of the hard-sphere fluid and hard-sphere mixtures\u0000within the framework of classical density functional theory (DFT). Lutsko\u0000[Phys. Rev. E 102, 062137 (2020)] introduced a version of FMT containing two\u0000free parameters, to be fixed by additional physical constraints. Whereas Lutsko\u0000focused on the stability of crystalline phases, we introduce and employ two\u0000statistical mechanical sum rules pertinent for the fluid phase, that are not\u0000automatically satisfied by FMT. By minimizing the relative deviation between\u0000different routes to calculate the excess chemical potential and the isothermal\u0000compressibility we determine the two free parameters of the theory. Our results\u0000indicate that requiring consistency with these sum rules can improve the\u0000quality of predictions of FMT for properties of the hard-sphere fluid phase. We\u0000suggest that employing these (test particle) sum rules, which apply for any\u0000interparticle pair-potential, might provide a means of testing the performance\u0000and accuracy of general DFT approximations.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196267","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We derive the expression for the entropy production for stochastic dynamics defined on a continuous space of states containing unidirectional transitions. The expression is derived by taking the continuous limit of a stochastic dynamics on a discrete space of states and is based on an expression for the entropy production appropriate for unidirectional transition. Our results shows that the entropy flux is the negative of the divergence of the vector firld whose components are the rates at which a dynamic variable changes in time. For a Hamiltonian dynamical system, it follows from this result that the entropy flux vanish identically.
{"title":"Entropy production in continuous systems with unidirectional transitions","authors":"Mário J. de Oliveira","doi":"arxiv-2409.02321","DOIUrl":"https://doi.org/arxiv-2409.02321","url":null,"abstract":"We derive the expression for the entropy production for stochastic dynamics\u0000defined on a continuous space of states containing unidirectional transitions.\u0000The expression is derived by taking the continuous limit of a stochastic\u0000dynamics on a discrete space of states and is based on an expression for the\u0000entropy production appropriate for unidirectional transition. Our results shows\u0000that the entropy flux is the negative of the divergence of the vector firld\u0000whose components are the rates at which a dynamic variable changes in time. For\u0000a Hamiltonian dynamical system, it follows from this result that the entropy\u0000flux vanish identically.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"25 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196228","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We study the conformation and topological properties of cyclical star polymers with $f$ ring arms, each made of $n$ beads. We find that the conformational properties of unlinked cyclical star polymers are compatible to those of linear star polymers with $2f$ arms made of $n/2$ beads each. This compatibility vanishes when the topology of the star, measured as the degree of linking between arms, changes. In fact, when links are allowed we notice that the gyration radius decreases as a function of the absolute linking number $vert Lk vert$ of the arms, regardless of the protocol that is employed to introduce said links. Furthermore, the internal structure of the macromolecules, as highlighted by the radial density function, changes qualitatively for large values of $vert Lk vert$.
我们研究了环状星形聚合物的构象和拓扑特性，这些聚合物有 f 个环臂，每个环臂由 n 个珠子组成。我们发现，无连接环状星形聚合物的构象特性与每个环臂由 n/2 美元珠子组成的 2f 美元线性星形聚合物的构象特性是一致的。当星形聚合物的拓扑结构（以臂间的链接程度来衡量）发生变化时，这种相容性就会消失。事实上，当允许链接时，我们会注意到回旋半径会随着臂的绝对链接数的增加而减小，而与引入链接的协议无关。此外，正如径向密度函数所强调的那样，这些大分子的内部结构在$vert Lk vert$值较大时会发生定性变化。
{"title":"Conformation and topology of cyclical star polymers","authors":"Davide Breoni, Emanuele Locatelli, Luca Tubiana","doi":"arxiv-2409.01149","DOIUrl":"https://doi.org/arxiv-2409.01149","url":null,"abstract":"We study the conformation and topological properties of cyclical star\u0000polymers with $f$ ring arms, each made of $n$ beads. We find that the\u0000conformational properties of unlinked cyclical star polymers are compatible to\u0000those of linear star polymers with $2f$ arms made of $n/2$ beads each. This\u0000compatibility vanishes when the topology of the star, measured as the degree of\u0000linking between arms, changes. In fact, when links are allowed we notice that\u0000the gyration radius decreases as a function of the absolute linking number\u0000$vert Lk vert$ of the arms, regardless of the protocol that is employed to\u0000introduce said links. Furthermore, the internal structure of the\u0000macromolecules, as highlighted by the radial density function, changes\u0000qualitatively for large values of $vert Lk vert$.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196266","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Heisenberg model spin systems offer favorable and manageable physical settings for generating and manipulating entangled quantum states. In this work mixed spin-(1/2,1/2,1) Heisenberg spin trimer with two different but isotropic Lande g-factors and two different exchange constants is considered. The study undertakes the task of finding the optimal parameters to create entangled states and control them by external magnetic field. The primary objective of this work is to examine the tripartite entanglement of a system and the dependence of the tripartite entanglement on various system parameters. Particularly, the effects of non-conserving magnetization are in the focus of our research. The source of non-commutativity between the magnetic moment operator and the Hamiltonian is the non-uniformity of g-factors. To quantify the tripartite entanglement, an entanglement measure called "tripartite negativity" has been used in this work.
海森堡模型自旋系统为产生和操纵纠缠量子态提供了有利和可控的物理环境。本研究考虑了具有两个不同但各向同性的兰德 g 因子和两个不同交换常数的混合自旋（1/2,1/2,1）海森堡自旋三聚体。这项研究的任务是找到创建纠缠态并通过外部磁场控制它们的最佳参数。这项工作的主要目的是研究系统的三方纠缠以及三方纠缠对各种系统参数的依赖性。磁矩算子与哈密顿之间的非共通性来源于 g 因子的不均匀性。为了量化三方纠缠，本文使用了一种名为 "三方负性 "的纠缠度量。
{"title":"Tripartite Entanglement In Mixed-Spin Triangle Trimer","authors":"Zhirayr Adamyan, Vadim Ohanyan","doi":"arxiv-2409.01204","DOIUrl":"https://doi.org/arxiv-2409.01204","url":null,"abstract":"Heisenberg model spin systems offer favorable and manageable physical\u0000settings for generating and manipulating entangled quantum states. In this work\u0000mixed spin-(1/2,1/2,1) Heisenberg spin trimer with two different but isotropic\u0000Lande g-factors and two different exchange constants is considered. The study\u0000undertakes the task of finding the optimal parameters to create entangled\u0000states and control them by external magnetic field. The primary objective of\u0000this work is to examine the tripartite entanglement of a system and the\u0000dependence of the tripartite entanglement on various system parameters.\u0000Particularly, the effects of non-conserving magnetization are in the focus of\u0000our research. The source of non-commutativity between the magnetic moment\u0000operator and the Hamiltonian is the non-uniformity of g-factors. To quantify\u0000the tripartite entanglement, an entanglement measure called \"tripartite\u0000negativity\" has been used in this work.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"46 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196259","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
L. -L. Yan, M. -R. Yun, M. Li, S. -L. Su, K. -F. Cui, Gang Chen, M. Feng
We investigate, in an analytical fashion, quantum Carnot cycles of a microscopic heat engine coupled to two nite heat reservoirs, whose internal cycles could own higher e ciency than the standard Carnot limit without consuming extra quantum resources, e.g., coherence or squeezing properties. The engine runs time-dependently, involving both the internal and external cycles to collaboratively accomplish a complete Carnot cycle, and the e ciency of the engine depends on the reservoirs heat capacities and the working substance. Our analytical results of the maximum efficiency and the maximum power output clarify the mechanism behind the high performance of the microscopic engines, displaying the key roles played by the nite-sized heat reservoirs. Our proposal is generally valid for any microscopic thermodynamic system and fully feasible under current laboratory conditions.
{"title":"Beyond the Carnot Limit in the Internal Cycles of a Quantum Heat Engine under Finite Heat Reservoirs","authors":"L. -L. Yan, M. -R. Yun, M. Li, S. -L. Su, K. -F. Cui, Gang Chen, M. Feng","doi":"arxiv-2409.00914","DOIUrl":"https://doi.org/arxiv-2409.00914","url":null,"abstract":"We investigate, in an analytical fashion, quantum Carnot cycles of a\u0000microscopic heat engine coupled to two nite heat reservoirs, whose internal\u0000cycles could own higher e ciency than the standard Carnot limit without\u0000consuming extra quantum resources, e.g., coherence or squeezing properties. The\u0000engine runs time-dependently, involving both the internal and external cycles\u0000to collaboratively accomplish a complete Carnot cycle, and the e ciency of the\u0000engine depends on the reservoirs heat capacities and the working substance. Our\u0000analytical results of the maximum efficiency and the maximum power output\u0000clarify the mechanism behind the high performance of the microscopic engines,\u0000displaying the key roles played by the nite-sized heat reservoirs. Our proposal\u0000is generally valid for any microscopic thermodynamic system and fully feasible\u0000under current laboratory conditions.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196240","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ludovico Tesser, Matteo Acciai, Christian Spånslätt, Inès Safi, Janine Splettstoesser
We study bipartite quantum systems kept at different temperatures where a tunnel coupling between the two subsystems induces transitions. We find two independent constraints on the temperature-bias-dependent, out-of-equilibrium tunneling rates between the two subsystems, which both turn out to be particularly restrictive when the coupled quantum systems are small. These bounds take the form of a thermodynamic and of an energetic constraint, as they are associated with the dissipated heat and with the absorbed energy required to establish and deplete the temperature bias, respectively. The derived constraints apply to a large class of experimentally accessible quantum systems: except for the restriction to the tunneling regime, they hold for arbitrary subsystem Hamiltonians, including interactions or non-linear energy spectra. These results hold for a large class of experimentally relevant systems, ranging from molecular junctions to coupled cavities, and can be tested by, for instance, measuring the out-of-equilibrium tunneling current and its noise.
{"title":"Thermodynamic and energetic constraints on out-of-equilibrium tunneling rates","authors":"Ludovico Tesser, Matteo Acciai, Christian Spånslätt, Inès Safi, Janine Splettstoesser","doi":"arxiv-2409.00981","DOIUrl":"https://doi.org/arxiv-2409.00981","url":null,"abstract":"We study bipartite quantum systems kept at different temperatures where a\u0000tunnel coupling between the two subsystems induces transitions. We find two\u0000independent constraints on the temperature-bias-dependent, out-of-equilibrium\u0000tunneling rates between the two subsystems, which both turn out to be\u0000particularly restrictive when the coupled quantum systems are small. These\u0000bounds take the form of a thermodynamic and of an energetic constraint, as they\u0000are associated with the dissipated heat and with the absorbed energy required\u0000to establish and deplete the temperature bias, respectively. The derived\u0000constraints apply to a large class of experimentally accessible quantum\u0000systems: except for the restriction to the tunneling regime, they hold for\u0000arbitrary subsystem Hamiltonians, including interactions or non-linear energy\u0000spectra. These results hold for a large class of experimentally relevant\u0000systems, ranging from molecular junctions to coupled cavities, and can be\u0000tested by, for instance, measuring the out-of-equilibrium tunneling current and\u0000its noise.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"66 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196268","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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