Efficient simulation of open quantum systems coupled to a fermionic bath

Nüßeler, Alexander; Dhand, Ish; Huelga, Susana F.; Plenio, Martin B.

doi:10.1103/physrevb.101.155134

Cited by 49 publications

(43 citation statements)

References 106 publications

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“…Nevertheless, whether or not such a system operator exists, we show in Appendix A that the average currents computed from Eqs. (34) and (35) converge to the infinite-reservoir prediction when L → ∞.…”

Section: Nonequilibrium Thermodynamics With Mesoscopic Leadsmentioning

confidence: 82%

“…However, due to the Lindblad damping, there is an additional term associated with the change inĤ SL , i.e., the second term in Eq. (35). This term is of the order of Oðγ k κ kp Þ and, therefore, becomes negligible in comparison to the first term in the limit L → ∞.…”

Section: Mesoscopic-lead Configurationmentioning

confidence: 96%

“…Since this superoperator acts only on the lead degrees of freedom, we find the explicit expressions quoted in Eqs. (34) and (35) with straightforward algebra. In sufficiently large central systems, an alternative definition of the currents can be derived from the continuity equations within the system itself.…”

Section: Appendix D: Definitions Of Currentsmentioning

confidence: 99%

“…Given that our expressions for particle and energy currents in Eqs. (34) and (35) are defined in terms of canonical operators in the leads, the corresponding expressions for the case of a many-fermionic central system are equivalent to those of a single-level system. For a sufficiently large number of sites in the central system, these operators can be defined in terms of just system operators.…”

Section: Appendix E: Many Fermionic Sitesmentioning

confidence: 99%

“…Another possibility is the numerical renormalization group, which can handle strong interactions but is typically limited to near-equilibrium transport properties [33]. The related chain representation of unitary system-bath dynamics [34] is also capable of nonperturbative transport calculations [35] at finite temperatures [36], but its scalability to large system sizes remains unclear.…”

Section: Introductionmentioning

confidence: 99%

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Tensor-Network Method to Simulate Strongly Interacting Quantum Thermal Machines

et al. 2020

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We present a methodology to simulate the quantum thermodynamics of thermal machines which are built from an interacting working medium in contact with fermionic reservoirs at a fixed temperature and chemical potential. Our method works at a finite temperature, beyond linear response and weak systemreservoir coupling, and allows for nonquadratic interactions in the working medium. The method uses mesoscopic reservoirs, continuously damped toward thermal equilibrium, in order to represent continuum baths and a novel tensor-network algorithm to simulate the steady-state thermodynamics. Using the example of a quantum-dot heat engine, we demonstrate that our technique replicates the well-known Landauer-Büttiker theory for efficiency and power. We then go beyond the quadratic limit to demonstrate the capability of our method by simulating a three-site machine with nonquadratic interactions. Remarkably, we find that such interactions lead to power enhancement, without being detrimental to the efficiency. Furthermore, we demonstrate the capability of our method to tackle complex many-body systems by extracting the superdiffusive exponent for high-temperature transport in the isotropic Heisenberg model. Finally, we discuss transport in the gapless phase of the anisotropic Heisenberg model at a finite temperature and its connection to charge conjugation parity, going beyond the predictions of single-site boundary driving configurations.

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Section: Nonequilibrium Thermodynamics With Mesoscopic Leadsmentioning

confidence: 82%

Section: Mesoscopic-lead Configurationmentioning

confidence: 96%

Section: Appendix D: Definitions Of Currentsmentioning

confidence: 99%

Section: Appendix E: Many Fermionic Sitesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Tensor-Network Method to Simulate Strongly Interacting Quantum Thermal Machines

et al. 2020

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Time-Dependent Density Matrix Renormalization Group Method for Quantum Transport with Phonon Coupling in Molecular Junction

Yang,

Li,

Ren

et al. 2023

J. Chem. Theory Comput.

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Quantum transport in molecular junctions has attracted great attention. The charge motion in a molecular junction can cause geometric deformation, leading to strong electron phonon coupling, which was often overlooked. We have formulated a nearly exact method to assess the time-dependent current and occupation number in the molecular junction modeled by the electron–phonon coupled bridge state using the time-dependent density matrix renormalization group (TD-DMRG) method. The oscillation period and amplitude of the current are found to be dependent on the electron phonon coupling strength and energy level alignment with the electrodes. In an attempt to better understand these phenomena, we have devised a new approximation that explains the bistability phenomenon and the behavior of steady currents in the strong electron–phonon coupling regime. Comparisons have been made with the multilayer-multiconfiguration time-dependent Hartree (ML-MCTDH) method and the analytical result in the purely electronic limit. Furthermore, we explore the entropy of different orderings, extending to the electron phonon model problems. Regarding finite temperature, the thermal Bogoliubov transformation of both fermions and bosons is used and compared with imaginary time evolution results.

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Shaping Electronic Flows with Strongly Correlated Physics

Erpenbeck,

Gull,

Cohen

2023

Nano Lett.

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Nonequilibrium quantum transport is of central importance in nanotechnology. Its description requires the understanding of strong electronic correlations that couple atomic-scale phenomena to the nanoscale. So far, research in correlated transport has focused predominantly on few-channel transport, precluding the investigation of cross-scale effects. Recent theoretical advances enable the solution of models that capture the interplay between quantum correlations and confinement beyond a few channels. This problem is the focus of this study. We consider an atomic impurity embedded in a metallic nanosheet spanning two leads, showing that transport is significantly altered by tuning only the phase of a single local hopping parameter. Furthermore�depending on this phase� correlations reshape the electronic flow throughout the sheet, either funneling it through the impurity or scattering it away from a much larger region. This demonstrates the potential for quantum correlations to bridge length scales in the design of nanoelectronic devices and sensors.

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Efficient simulation of open quantum systems coupled to a fermionic bath

Cited by 49 publications

References 106 publications

Tensor-Network Method to Simulate Strongly Interacting Quantum Thermal Machines

Tensor-Network Method to Simulate Strongly Interacting Quantum Thermal Machines

Time-Dependent Density Matrix Renormalization Group Method for Quantum Transport with Phonon Coupling in Molecular Junction

Shaping Electronic Flows with Strongly Correlated Physics

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