Thermalization in open quantum systems

Reichental, Israel; Klempner, Anat; Kafri, Yariv; Podolsky, Daniel K.

doi:10.1103/physrevb.97.134301

Cited by 32 publications

(29 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For noninteracting leads, one can construct dissipators that thermalize such free systems (Ajisaka et al, 2012;Dzhioev and Kosov, 2011;Guimarães et al, 2016), or model nontrivial spectral properties of the bath (Arrigoni et al, 2013;Brenes et al, 2020c;Schwarz et al, 2016). For a discussion of thermalization properties of such baths, see (Reichental et al, 2018).…”

Section: B Lindblad Master Equationmentioning

confidence: 99%

Finite-temperature transport in one-dimensional quantum lattice models

et al. 2021

View full text Add to dashboard Cite

Section: B Lindblad Master Equationmentioning

confidence: 99%

Finite-temperature transport in one-dimensional quantum lattice models

et al. 2021

View full text Add to dashboard Cite

“…It has been shown numerically, particularly in Ref. [274], that a single set of dissipators acting locally on the boundaries of the system fails to thermalise the system to the parameters dictated by the reservoirs. As we have discussed, this is expected from the lack of local detailed balance.…”

Section: Ii24 Summary and Outlookmentioning

confidence: 99%

Many-Body Localization Dynamics from Gauge Invariance

et al. 2018

View full text Add to dashboard Cite

We show how lattice gauge theories can display many-body localization dynamics in the absence of disorder. Our starting point is the observation that, for some generic translationally invariant states, the Gauss law effectively induces a dynamics which can be described as a disorder average over gauge superselection sectors. We carry out extensive exact simulations on the real-time dynamics of a lattice Schwinger model, describing the coupling between U(1) gauge fields and staggered fermions. Our results show how memory effects and slow, double-logarithmic entanglement growth are present in a broad regime of parameters-in particular, for sufficiently large interactions. These findings are immediately relevant to cold atoms and trapped ion experiments realizing dynamical gauge fields and suggest a new and universal link between confinement and entanglement dynamics in the many-body localized phase of lattice models.

show abstract

“…In such cases, a tractable number of lead sites L can be used to obtain a good approximation of an infinite bath with a continuous spectral density. For this approximation, it is crucial that γ k remains the smallest energy scale in the physical configuration to both model the spectral function correctly and accurately approximate the baths via the Lindblad equation [48,55].…”

Section: From Macroscopic Reservoirs To Mesoscopic Leadsmentioning

confidence: 99%

“…In the context of open quantum systems coupled to bosonic reservoirs, this representation has been placed on a mathematically rigorous footing [41,42], while its amenability to tensor-network simulations has been demonstrated [43]. Related approaches have been used to study quantum heat engines [44,45] and thermalization in few-level [46] and many-particle systems [47,48]. In the fermionic setting, conditions under which continuum baths can be modeled by mesoscopic reservoirs have been recently discussed in Refs.…”

Section: Introductionmentioning

confidence: 99%

Tensor-Network Method to Simulate Strongly Interacting Quantum Thermal Machines

et al. 2020

View full text Add to dashboard Cite

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.

show abstract

Thermalization in open quantum systems

Cited by 32 publications

References 45 publications

Finite-temperature transport in one-dimensional quantum lattice models

Finite-temperature transport in one-dimensional quantum lattice models

Many-Body Localization Dynamics from Gauge Invariance

Tensor-Network Method to Simulate Strongly Interacting Quantum Thermal Machines

Contact Info

Product

Resources

About