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We propose a Landauer-like theory for nonlinear transport in networks of one-dimensional interacting quantum wires (Luttinger liquids). A concrete example of current experimental focus is given by carbon nanotube Y junctions. Our theory has…

Strongly Correlated Electrons · Physics 2009-11-07 S. Chen , B. Trauzettel , R. Egger

Landauer's principle provides a link between Shannon's information entropy and Clausius' thermodynamical entropy. We set up here a basic formula for the incremental free energy of a quantum channel, possibly relative to infinite systems,…

Quantum Physics · Physics 2018-05-09 Roberto Longo

We investigate the dynamics of a strongly correlated quantum dot system in the mixed valence regime based on the hierarchical equations of motion (HEOM) approach. The transient and steady state transport properties after a quantum quench…

Strongly Correlated Electrons · Physics 2017-09-11 YongXi Cheng , ZhenHua Li , JianHua Wei , YiJing Yan

Correlations disguised in various forms underlie a host of important phenomena in classical and quantum systems, such as information and energy exchanges. The quantum mutual information and the norm of the correlation matrix are both…

Quantum Physics · Physics 2020-04-15 S. Alipour , S. Tuohino , A. T. Rezakhani , T. Ala-Nissila

Quantum information is a common topic of research in many areas of quantum physics, such as quantum communication and quantum computation, as well as quantum thermodynamics. It can be encoded in discrete or continuous variable systems, with…

Quantum Physics · Physics 2021-03-25 Jonas F. G. Santos , Carlos H. S. Vieira , Pedro R. Dieguez

We compare the thermodynamic entropy of a quantum Brownian oscillator derived from the partition function of the subsystem with the von Neumann entropy of its reduced density matrix. At low temperatures we find deviations between these two…

Quantum Physics · Physics 2009-11-13 Christian Hoerhammer , Helmut Buettner

An important step to incorporate information in the second law of thermodynamics was done by Landauer, showing that the erasure of information implies an increase in heat. Most attempts to justify Landauer's erasure principle are based on…

Statistical Mechanics · Physics 2023-04-04 Xavier Oriols , Hrvoje Nikolić

We present a detailed theoretical investigation of the effect of Coulomb interactions on electron transport through quantum dots and double barrier structures connected to a voltage source via an arbitrary linear impedance. Combining real…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Dmitri S. Golubev , Andrei D. Zaikin

We study the effect of a dot-lead interaction on transport through a quantum dot hybridized to two semi-infinite Luttinger-liquid leads. A bosonization approach is applied to treat the interaction between charge fluctuations on the dot and…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Florian Elste , David R. Reichman , Andrew J. Millis

There is a current interest in quantum thermodynamics in the context of open quantum systems. An important issue is the consistency of quantum thermodynamics, in particular the second law of thermodynamics, i.e., the flow of heat from a hot…

Quantum Physics · Physics 2024-07-30 Hans C. Fogedby

Quantum systems can undergo phase transitions and show distinct features in different phases. The corresponding transport properties can also vary significantly due to the underlying quantum phase. We investigate the transport behaviour of…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Bo Xing , Xiansong Xu , Vinitha Balachandran , Dario Poletti

Quantum state engineering and quantum computation rely on information erasure procedures that, up to some fidelity, prepare a quantum object in a pure state. Such processes occur within Landauer's framework if they rely on an interaction…

Quantum Physics · Physics 2016-01-26 M. Hamed Mohammady , Masoud Mohseni , Yasser Omar

We study heat current and the full statistics of heat fluctuations in a capacitively-coupled double quantum dot system. This work is motivated by recent theoretical studies and experimental works on heat currents in quantum dot circuits. As…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Hari Kumar Yadalam , Upendra Harbola

We investigate the transport and coherence properties of a double quantum dot coupled to a single damped boson mode. Our numerically results reveal how the properties of the boson distribution can be steered by altering parameters of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 T. Brandes , N. Lambert

We analyze the heat current traversing a quantum dot sandwiched between a ferromagnetic and a superconducting electrode. The heat flow generated in response to a voltage bias presents rectification as a function of the gate potential…

Mesoscale and Nanoscale Physics · Physics 2018-04-24 Sun-Yong Hwang , David Sanchez

It has long been known that quantum particles moving in a periodic lattice and subject to a constant force field undergo an oscillatory motion that is referred to as Bloch Oscillations (BOs). However, it is also known that, under quite…

Mesoscale and Nanoscale Physics · Physics 2023-08-11 J. M. Alendouro Pinho , J. P. Santos Pires , Simão M. João , B. Amorim , J. M. Viana Parente Lopes

The properties of an unconventional, single mode phonon bath coupled to a quantum dot, are investigated within the rotating wave approximation. The electron current through the dot induces an out of equilibrium bath, with a phonon…

Mesoscale and Nanoscale Physics · Physics 2011-10-10 F. Cavaliere , G. Piovano , E. Paladino , M. Sassetti

The Landauer approach to transport in mesoscopic conductors has been generalized to allow for strong electronic correlations in a single-channel quantum wire. We describe in detail how to account for external voltage sources in adiabatic…

Strongly Correlated Electrons · Physics 2009-10-31 Reinhold Egger , Hermann Grabert

The transport in a pure one-dimensional quantum wire is investigated for any range of interactions. First, the wire is connected to measuring leads. The transmission of an incident electron is found to be perfect, and the conductance is not…

Strongly Correlated Electrons · Physics 2009-10-30 Ines Safi

We study a system consisting of a Luttinger liquid coupled to a quantum dot on the boundary. The Luttinger liquid is expressed in terms of fermions interacting via density-density coupling and the dot is modeled as an interacting resonant…

Strongly Correlated Electrons · Physics 2020-06-09 Colin Rylands , Natan Andrei
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